diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index 84ac5456d4..653c73e38d 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -11,21 +11,19 @@ class ItemData(typing.NamedTuple): class YachtDiceItem(Item): game: str = "Yacht Dice" + # the starting index is chosen semi-randomly to be 16871244000 item_table = { # victory item, always placed manually at goal location "Victory": ItemData(16871244000 - 1, ItemClassification.progression), - "Dice": ItemData(16871244000, ItemClassification.progression), "Dice Fragment": ItemData(16871244001, ItemClassification.progression), "Roll": ItemData(16871244002, ItemClassification.progression), "Roll Fragment": ItemData(16871244003, ItemClassification.progression), - "Fixed Score Multiplier": ItemData(16871244005, ItemClassification.progression), "Step Score Multiplier": ItemData(16871244006, ItemClassification.progression), - "Category Ones": ItemData(16871244103, ItemClassification.progression), "Category Twos": ItemData(16871244104, ItemClassification.progression), "Category Threes": ItemData(16871244105, ItemClassification.progression), @@ -42,7 +40,6 @@ item_table = { "Category Large Straight": ItemData(16871244116, ItemClassification.progression), "Category Full House": ItemData(16871244117, ItemClassification.progression), "Category Yacht": ItemData(16871244118, ItemClassification.progression), - "Category Distincts": ItemData(16871244123, ItemClassification.progression), "Category Two times Ones": ItemData(16871244124, ItemClassification.progression), "Category Half of Sixes": ItemData(16871244125, ItemClassification.progression), @@ -59,7 +56,6 @@ item_table = { "Category 2-1-2 Consecutive": ItemData(16871244136, ItemClassification.progression), "Category Five Distinct Dice": ItemData(16871244137, ItemClassification.progression), "Category 4&5 Full House": ItemData(16871244138, ItemClassification.progression), - # filler items "Encouragement": ItemData(16871244200, ItemClassification.filler), "Fun Fact": ItemData(16871244201, ItemClassification.filler), @@ -67,19 +63,15 @@ item_table = { "Good RNG": ItemData(16871244203, ItemClassification.filler), "Bad RNG": ItemData(16871244204, ItemClassification.trap), "Bonus Point": ItemData(16871244205, ItemClassification.useful), # not included in logic - # These points are included in the logic and might be necessary to progress. "1 Point": ItemData(16871244301, ItemClassification.progression_skip_balancing), "10 Points": ItemData(16871244302, ItemClassification.progression), - "100 Points": ItemData(16871244303, ItemClassification.progression) + "100 Points": ItemData(16871244303, ItemClassification.progression), } # item groups for better hinting item_groups = { - "Score Multiplier": { - "Step Score Multiplier", - "Fixed Score Multiplier" - }, + "Score Multiplier": {"Step Score Multiplier", "Fixed Score Multiplier"}, "Categories": { "Category Ones", "Category Twos", @@ -112,6 +104,6 @@ item_groups = { "Category Two Pair", "Category 2-1-2 Consecutive", "Category Five Distinct Dice", - "Category 4&5 Full House" - } + "Category 4&5 Full House", + }, } diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 8c5bc1a566..2230b34082 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -47,8 +47,8 @@ def ini_locations(goal_score, max_score, num_locs, dif): # note that curscore is at most max_score-1 hiscore = 0 for i in range(num_locs - 1): - perc = (i / num_locs) - curscore = int(1 + (perc ** scaling) * (max_score - 2)) + perc = i / num_locs + curscore = int(1 + (perc**scaling) * (max_score - 2)) if curscore <= hiscore: curscore = hiscore + 1 hiscore = curscore diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index dae182ef21..81fbdd420f 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -5,12 +5,13 @@ from Options import Choice, OptionGroup, PerGameCommonOptions, Range class GameDifficulty(Choice): """ - Difficulty. This option determines how difficult the scores are to achieve. + Difficulty. This option determines how difficult the scores are to achieve. Easy: for beginners. No luck required, just roll the dice and have fun. Lower final goal. Medium: intended difficulty. If you play smart, you will finish the game without any trouble. Hard: you will need to play smart and be lucky. Extreme: really hard mode, which requires many brain wrinkles and insane luck. NOT RECOMMENDED FOR MULTIWORLDS. """ + display_name = "Game difficulty" option_easy = 1 option_medium = 2 @@ -22,9 +23,10 @@ class GameDifficulty(Choice): class ScoreForLastCheck(Range): """ The items in the item pool will always allow you to reach a score of 1000. - By default, the last check is also at a score of 1000. + By default, the last check is also at a score of 1000. However, you can set the score for the last check to be lower. This will make the game shorter and easier. """ + display_name = "Score for last check" range_start = 500 range_end = 1000 @@ -36,6 +38,7 @@ class ScoreForGoal(Range): This option determines what score you need to reach to finish the game. It cannot be higher than the score for the last check (if it is, it is changed automatically). """ + display_name = "Score for goal" range_start = 500 range_end = 1000 @@ -49,6 +52,7 @@ class MinimalNumberOfDiceAndRolls(Choice): You can never get more than 8 dice and 5 rolls. You start with one dice and one roll. """ + display_name = "Minimal number of dice and rolls in pool" option_5_dice_and_3_rolls = 2 option_5_dice_and_5_rolls = 3 @@ -60,11 +64,12 @@ class MinimalNumberOfDiceAndRolls(Choice): class NumberDiceFragmentsPerDice(Range): """ - Dice can be split into fragments, gathering enough will give you an extra dice. - You start with one dice, and there will always be one full dice in the pool. - The other dice are split into fragments, according to this option. + Dice can be split into fragments, gathering enough will give you an extra dice. + You start with one dice, and there will always be one full dice in the pool. + The other dice are split into fragments, according to this option. Setting this to 1 fragment per dice just puts "Dice" objects in the pool. """ + display_name = "Number of dice fragments per dice" range_start = 1 range_end = 5 @@ -73,11 +78,12 @@ class NumberDiceFragmentsPerDice(Range): class NumberRollFragmentsPerRoll(Range): """ - Rolls can be split into fragments, gathering enough will give you an extra roll. - You start with one roll, and there will always be one full roll in the pool. + Rolls can be split into fragments, gathering enough will give you an extra roll. + You start with one roll, and there will always be one full roll in the pool. The other three rolls are split into fragments, according to this option. Setting this to 1 fragment per roll just puts "Roll" objects in the pool. """ + display_name = "Number of roll fragments per roll" range_start = 1 range_end = 5 @@ -92,6 +98,7 @@ class AlternativeCategories(Range): In the game, you can hover over categories to check what they do. How many alternative categories would you like to see in your game? """ + display_name = "Number of alternative categories" range_start = 0 range_end = 16 @@ -103,9 +110,10 @@ class ChanceOfDice(Range): The item pool is always filled in such a way that you can reach a score of 1000. Extra progression items are added that will help you on your quest. You can set the weight for each extra progressive item in the following options. - + Of course, more dice = more points! """ + display_name = "Weight of adding Dice" range_start = 0 range_end = 100 @@ -116,6 +124,7 @@ class ChanceOfRoll(Range): """ With more rolls, you will be able to reach higher scores. """ + display_name = "Weight of adding Roll" range_start = 0 range_end = 100 @@ -126,6 +135,7 @@ class ChanceOfFixedScoreMultiplier(Range): """ Getting a Fixed Score Multiplier will boost all future scores by 10%. """ + display_name = "Weight of adding Fixed Score Multiplier" range_start = 0 range_end = 100 @@ -138,6 +148,7 @@ class ChanceOfStepScoreMultiplier(Range): So, keep high scoring categories for later to get the most out of them. By default, this item is not included. It is fun however, you just need to know the above strategy. """ + display_name = "Weight of adding Step Score Multiplier" range_start = 0 range_end = 100 @@ -149,6 +160,7 @@ class ChanceOfDoubleCategory(Range): This option allows categories to appear multiple times. Each time you get a category after the first, its score value gets doubled. """ + display_name = "Weight of adding Category copy" range_start = 0 range_end = 100 @@ -159,6 +171,7 @@ class ChanceOfPoints(Range): """ Getting points gives you... points. You can get 1 point, 10 points, and even 100 points. """ + display_name = "Weight of adding Points" range_start = 0 range_end = 100 @@ -167,9 +180,10 @@ class ChanceOfPoints(Range): class PointsSize(Choice): """ - If you choose to add points to the item pool, do you prefer many small points, + If you choose to add points to the item pool, do you prefer many small points, medium-size points, a few larger points, or a mix of them? """ + display_name = "Size of points" option_small = 1 option_medium = 2 @@ -182,9 +196,10 @@ class MinimizeExtraItems(Choice): """ Besides necessary items, Yacht Dice has extra useful/filler items in the item pool. It is possible however to decrease the number of extra items in multiplayer games. - Do you want to reduce the number of extra items? + Do you want to reduce the number of extra items? (this option only does something in multiplayer games) """ + display_name = "Minimize extra items" option_no_dont = 1 option_yes_please = 2 @@ -196,11 +211,12 @@ class AddExtraPoints(Choice): Yacht Dice typically has space for extra items. If there is space, would you like bonus points shuffled in the item pool? They make the game a little bit easier, as they are not considered in the logic. - + all_of_it: fill all locations with extra points sure: put some bonus points in never: do not put any bonus points """ + display_name = "Extra bonus in the pool" option_all_of_it = 1 option_sure = 2 @@ -213,11 +229,12 @@ class AddStoryChapters(Choice): Yacht Dice typically has space for more items. If there is space, would you like story chapters shuffled in the item pool? Note: if you have extra points on "all_of_it", there will not be story chapters. - + all_of_it: fill all locations with story chapters sure: if there is space left, put in 10 story chapters. never: do not put any story chapters in, I do not like reading (but I am glad you are reading THIS!) """ + display_name = "Extra story chapters in the pool" option_all_of_it = 1 option_sure = 2 @@ -232,6 +249,7 @@ class WhichStory(Choice): You can read story chapters in the feed on the website. Which story would you like to read? """ + display_name = "Story" option_the_quest_of_the_dice_warrior = 1 option_the_tragedy_of_fortunas_gambit = 2 @@ -250,6 +268,7 @@ class AllowManual(Choice): Of course, we cannot check anymore if the player is playing fair. Do you want to allow manual input of rolls? """ + display_name = "Allow manual inputs" option_yes_allow = 1 option_no_dont_allow = 2 @@ -286,12 +305,17 @@ class YachtDiceOptions(PerGameCommonOptions): yd_option_groups = [ - OptionGroup("Extra progression items", [ - ChanceOfDice, ChanceOfRoll, ChanceOfFixedScoreMultiplier, ChanceOfStepScoreMultiplier, - ChanceOfDoubleCategory, ChanceOfPoints, PointsSize - ]), - - OptionGroup("Other items", [ - MinimizeExtraItems, AddExtraPoints, AddStoryChapters, WhichStory - ]) + OptionGroup( + "Extra progression items", + [ + ChanceOfDice, + ChanceOfRoll, + ChanceOfFixedScoreMultiplier, + ChanceOfStepScoreMultiplier, + ChanceOfDoubleCategory, + ChanceOfPoints, + PointsSize, + ], + ), + OptionGroup("Other items", [MinimizeExtraItems, AddExtraPoints, AddStoryChapters, WhichStory]), ] diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 4fed56f639..e7e848cd9e 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -25,7 +25,6 @@ category_mappings = { "Category Large Straight": "LargeStraight", "Category Full House": "FullHouse", "Category Yacht": "Yacht", - "Category Distincts": "Distincts", "Category Two times Ones": "Twos", # same weights as twos category "Category Half of Sixes": "Threes", # same weights as threes category @@ -41,7 +40,7 @@ category_mappings = { "Category Two Pair": "TwoPair", "Category 2-1-2 Consecutive": "TwoOneTwoConsecutive", "Category Five Distinct Dice": "FiveDistinctDice", - "Category 4&5 Full House": "FourAndFiveFullHouse" + "Category 4&5 Full House": "FourAndFiveFullHouse", } # This class adds logic to the apworld. @@ -74,12 +73,10 @@ def extract_progression(state, player, options): if player == "state_is_a_list": # the state variable is just a list with the names of the items number_of_dice = ( - state.count("Dice") - + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value + state.count("Dice") + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value ) number_of_rerolls = ( - state.count("Roll") - + state.count("Roll Fragment") // options.number_of_roll_fragments_per_roll.value + state.count("Roll") + state.count("Roll Fragment") // options.number_of_roll_fragments_per_roll.value ) number_of_fixed_mults = state.count("Fixed Score Multiplier") number_of_step_mults = state.count("Step Score Multiplier") @@ -109,8 +106,15 @@ def extract_progression(state, player, options): extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 - return [categories, number_of_dice, number_of_rerolls, - number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic] + return [ + categories, + number_of_dice, + number_of_rerolls, + number_of_fixed_mults * 0.1, + number_of_step_mults * 0.01, + extra_points_in_logic, + ] + # We will store the results of this function as it is called often for the same parameters. @@ -120,8 +124,16 @@ yachtdice_cache = {} # Function that returns the feasible score in logic based on items obtained. def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, diff): - tup = tuple([tuple(sorted([c.name + str(c.quantity) for c in categories])), - num_dice, num_rolls, fixed_mult, step_mult, diff]) # identifier + tup = tuple( + [ + tuple(sorted([c.name + str(c.quantity) for c in categories])), + num_dice, + num_rolls, + fixed_mult, + step_mult, + diff, + ] + ) # identifier # if already computed, return the result if tup in yachtdice_cache.keys(): @@ -210,16 +222,22 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu def dice_simulation(state, player, options): if player == "state_is_a_list": categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) - return dice_simulation_strings( - categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value - ) + expoints + return ( + dice_simulation_strings( + categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value + ) + + expoints + ) if state.prog_items[player]["state_is_fresh"] == 0: state.prog_items[player]["state_is_fresh"] = 1 categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) - state.prog_items[player]["maximum_achievable_score"] = dice_simulation_strings( - categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value - ) + expoints + state.prog_items[player]["maximum_achievable_score"] = ( + dice_simulation_strings( + categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value + ) + + expoints + ) return state.prog_items[player]["maximum_achievable_score"] @@ -227,11 +245,11 @@ def dice_simulation(state, player, options): # Sets rules on entrances and advancements that are always applied def set_yacht_rules(world: MultiWorld, player: int, options): for l in world.get_locations(player): - set_rule(l, - lambda state, - curscore=l.yacht_dice_score, - player=player: - dice_simulation(state, player, options) >= curscore) + set_rule( + l, + lambda state, curscore=l.yacht_dice_score, player=player: dice_simulation(state, player, options) + >= curscore, + ) # Sets rules on completion condition diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 830f56adcb..3b788d5c88 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -6,4 +6,7901 @@ # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} # this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 30654}, ("Ones", 1, 3): {0: 57756, 1: 42244}, ("Ones", 1, 4): {0: 48709, 1: 51291}, ("Ones", 1, 5): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, ("Ones", 3, 0): {0: 100000}, ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, ("Ones", 4, 0): {0: 100000}, ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, ("Ones", 5, 0): {0: 100000}, ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, ("Ones", 6, 0): {0: 100000}, ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, ("Ones", 7, 0): {0: 100000}, ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, ("Ones", 8, 0): {0: 100000}, ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, ("Ones", 8, 3): {1: 7452, 6: 5203, 3: 27032, 5: 14360, 4: 24664, 2: 18864, 7: 1114, 0: 1209, 8: 102}, ("Ones", 8, 4): {4: 27157, 2: 9318, 6: 12536, 3: 20389, 5: 23430, 7: 3804, 1: 2540, 8: 559, 0: 267}, ("Ones", 8, 5): {6: 20582, 3: 12395, 4: 23638, 5: 27792, 1: 817, 7: 8765, 2: 4298, 8: 1655, 0: 58}, ("Ones", 8, 6): {6: 27112, 7: 15535, 5: 27508, 4: 17025, 3: 6901, 8: 3948, 2: 1716, 1: 242, 0: 13}, ("Ones", 8, 7): {5: 23980, 4: 11343, 7: 22673, 6: 30438, 8: 7330, 3: 3508, 2: 643, 1: 82, 0: 3}, ("Ones", 8, 8): {6: 30830, 4: 7029, 7: 29143, 8: 12025, 5: 18895, 3: 1768, 2: 286, 1: 23, 0: 1}, ("Twos", 0, 0): {0: 100000}, ("Twos", 0, 1): {0: 100000}, ("Twos", 0, 2): {0: 100000}, ("Twos", 0, 3): {0: 100000}, ("Twos", 0, 4): {0: 100000}, ("Twos", 0, 5): {0: 100000}, ("Twos", 0, 6): {0: 100000}, ("Twos", 0, 7): {0: 100000}, 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("LargeStraight", 7, 4): {40: 81834, 0: 18166}, ("LargeStraight", 7, 5): {40: 89310, 0: 10690}, ("LargeStraight", 7, 6): {40: 93949, 0: 6051}, ("LargeStraight", 7, 7): {40: 96383, 0: 3617}, ("LargeStraight", 7, 8): {40: 98059, 0: 1941}, ("LargeStraight", 8, 0): {0: 100000}, ("LargeStraight", 8, 1): {40: 26480, 0: 73520}, ("LargeStraight", 8, 2): {40: 60969, 0: 39031}, ("LargeStraight", 8, 3): {40: 80844, 0: 19156}, ("LargeStraight", 8, 4): {40: 90696, 0: 9304}, ("LargeStraight", 8, 5): {40: 95580, 0: 4420}, ("LargeStraight", 8, 6): {40: 97859, 0: 2141}, ("LargeStraight", 8, 7): {40: 98963, 0: 1037}, ("LargeStraight", 8, 8): {40: 99489, 0: 511}, ("FullHouse", 0, 0): {0: 100000}, ("FullHouse", 0, 1): {0: 100000}, ("FullHouse", 0, 2): {0: 100000}, ("FullHouse", 0, 3): {0: 100000}, ("FullHouse", 0, 4): {0: 100000}, ("FullHouse", 0, 5): {0: 100000}, ("FullHouse", 0, 6): {0: 100000}, ("FullHouse", 0, 7): {0: 100000}, ("FullHouse", 0, 8): {0: 100000}, ("FullHouse", 1, 0): {0: 100000}, ("FullHouse", 1, 1): {0: 100000}, ("FullHouse", 1, 2): {0: 100000}, ("FullHouse", 1, 3): {0: 100000}, ("FullHouse", 1, 4): {0: 100000}, ("FullHouse", 1, 5): {0: 100000}, ("FullHouse", 1, 6): {0: 100000}, ("FullHouse", 1, 7): {0: 100000}, ("FullHouse", 1, 8): {0: 100000}, ("FullHouse", 2, 0): {0: 100000}, ("FullHouse", 2, 1): {0: 100000}, ("FullHouse", 2, 2): {0: 100000}, ("FullHouse", 2, 3): {0: 100000}, ("FullHouse", 2, 4): {0: 100000}, ("FullHouse", 2, 5): {0: 100000}, ("FullHouse", 2, 6): {0: 100000}, ("FullHouse", 2, 7): {0: 100000}, ("FullHouse", 2, 8): {0: 100000}, ("FullHouse", 3, 0): {0: 100000}, ("FullHouse", 3, 1): {0: 100000}, ("FullHouse", 3, 2): {0: 100000}, ("FullHouse", 3, 3): {0: 100000}, ("FullHouse", 3, 4): {0: 100000}, ("FullHouse", 3, 5): {0: 100000}, ("FullHouse", 3, 6): {0: 100000}, ("FullHouse", 3, 7): {0: 100000}, ("FullHouse", 3, 8): {0: 100000}, ("FullHouse", 4, 0): {0: 100000}, ("FullHouse", 4, 1): {0: 100000}, ("FullHouse", 4, 2): {0: 100000}, ("FullHouse", 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("FullHouse", 7, 1): {0: 60232, 25: 39768}, ("FullHouse", 7, 2): {25: 81106, 0: 18894}, ("FullHouse", 7, 3): {25: 94318, 0: 5682}, ("FullHouse", 7, 4): {25: 98294, 0: 1706}, ("FullHouse", 7, 5): {25: 99478, 0: 522}, ("FullHouse", 7, 6): {25: 99854, 0: 146}, ("FullHouse", 7, 7): {25: 99946, 0: 54}, ("FullHouse", 7, 8): {25: 99982, 0: 18}, ("FullHouse", 8, 0): {0: 100000}, ("FullHouse", 8, 1): {0: 35909, 25: 64091}, ("FullHouse", 8, 2): {25: 94288, 0: 5712}, ("FullHouse", 8, 3): {25: 99070, 0: 930}, ("FullHouse", 8, 4): {25: 99835, 0: 165}, ("FullHouse", 8, 5): {25: 99981, 0: 19}, ("FullHouse", 8, 6): {25: 99994, 0: 6}, ("FullHouse", 8, 7): {25: 100000}, ("FullHouse", 8, 8): {25: 100000}, ("Yacht", 0, 0): {0: 100000}, ("Yacht", 0, 1): {0: 100000}, ("Yacht", 0, 2): {0: 100000}, ("Yacht", 0, 3): {0: 100000}, ("Yacht", 0, 4): {0: 100000}, ("Yacht", 0, 5): {0: 100000}, ("Yacht", 0, 6): {0: 100000}, ("Yacht", 0, 7): {0: 100000}, ("Yacht", 0, 8): {0: 100000}, ("Yacht", 1, 0): {0: 100000}, ("Yacht", 1, 1): {0: 100000}, ("Yacht", 1, 2): {0: 100000}, ("Yacht", 1, 3): {0: 100000}, ("Yacht", 1, 4): {0: 100000}, ("Yacht", 1, 5): {0: 100000}, ("Yacht", 1, 6): {0: 100000}, ("Yacht", 1, 7): {0: 100000}, ("Yacht", 1, 8): {0: 100000}, ("Yacht", 2, 0): {0: 100000}, ("Yacht", 2, 1): {0: 100000}, ("Yacht", 2, 2): {0: 100000}, ("Yacht", 2, 3): {0: 100000}, ("Yacht", 2, 4): {0: 100000}, ("Yacht", 2, 5): {0: 100000}, ("Yacht", 2, 6): {0: 100000}, ("Yacht", 2, 7): {0: 100000}, ("Yacht", 2, 8): {0: 100000}, ("Yacht", 3, 0): {0: 100000}, ("Yacht", 3, 1): {0: 100000}, ("Yacht", 3, 2): {0: 100000}, ("Yacht", 3, 3): {0: 100000}, ("Yacht", 3, 4): {0: 100000}, ("Yacht", 3, 5): {0: 100000}, ("Yacht", 3, 6): {0: 100000}, ("Yacht", 3, 7): {0: 100000}, ("Yacht", 3, 8): {0: 100000}, ("Yacht", 4, 0): {0: 100000}, ("Yacht", 4, 1): {0: 100000}, ("Yacht", 4, 2): {0: 100000}, ("Yacht", 4, 3): {0: 100000}, ("Yacht", 4, 4): {0: 100000}, ("Yacht", 4, 5): {0: 100000}, ("Yacht", 4, 6): {0: 100000}, ("Yacht", 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2, 8): {2: 100000}, ("Distincts", 3, 1): {2: 41714, 3: 55526, 1: 2760}, ("Distincts", 3, 2): {2: 14936, 3: 84986, 1: 78}, ("Distincts", 3, 3): {3: 95134, 2: 4865, 1: 1}, ("Distincts", 3, 4): {3: 98341, 2: 1659}, ("Distincts", 3, 5): {3: 99425, 2: 575}, ("Distincts", 3, 6): {3: 99800, 2: 200}, ("Distincts", 3, 7): {3: 99931, 2: 69}, ("Distincts", 3, 8): {3: 99978, 2: 22}, ("Distincts", 4, 1): {3: 55471, 2: 16140, 4: 27895, 1: 494}, ("Distincts", 4, 2): {3: 36922, 4: 61185, 2: 1891, 1: 2}, ("Distincts", 4, 3): {4: 80139, 3: 19631, 2: 230}, ("Distincts", 4, 4): {4: 90121, 3: 9858, 2: 21}, ("Distincts", 4, 5): {4: 95094, 3: 4904, 2: 2}, ("Distincts", 4, 6): {4: 97506, 3: 2494}, ("Distincts", 4, 7): {4: 98703, 3: 1297}, ("Distincts", 4, 8): {4: 99389, 3: 611}, ("Distincts", 5, 1): {4: 46379, 5: 9285, 3: 38538, 2: 5717, 1: 81}, ("Distincts", 5, 2): {4: 56472, 5: 31685, 3: 11647, 2: 196}, ("Distincts", 5, 3): {4: 44724, 5: 52254, 3: 3016, 2: 6}, ("Distincts", 5, 4): {4: 31632, 5: 67646, 3: 722}, ("Distincts", 5, 5): {5: 78394, 4: 21391, 3: 215}, ("Distincts", 5, 6): {5: 85475, 4: 14470, 3: 55}, ("Distincts", 5, 7): {5: 90340, 4: 9645, 3: 15}, ("Distincts", 5, 8): {5: 93537, 4: 6461, 3: 2}, ("Distincts", 6, 1): {3: 22985, 5: 23032, 4: 50464, 2: 2019, 6: 1492, 1: 8}, ("Distincts", 6, 2): {5: 52573, 4: 35174, 6: 8954, 3: 3273, 2: 26}, ("Distincts", 6, 3): {4: 17376, 5: 62578, 6: 19629, 3: 417}, ("Distincts", 6, 4): {5: 61029, 6: 31140, 4: 7787, 3: 44}, ("Distincts", 6, 5): {6: 41304, 5: 54997, 4: 3690, 3: 9}, ("Distincts", 6, 6): {5: 47225, 6: 51218, 4: 1557}, ("Distincts", 6, 7): {6: 58807, 5: 40465, 4: 728}, ("Distincts", 6, 8): {6: 65828, 5: 33851, 4: 321}, ("Distincts", 7, 1): {4: 44964, 5: 36020, 3: 13006, 6: 5345, 2: 661, 1: 4}, ("Distincts", 7, 2): {5: 56731, 6: 23583, 4: 18847, 3: 838, 2: 1}, ("Distincts", 7, 3): {5: 50312, 6: 43637, 4: 5983, 3: 68}, ("Distincts", 7, 4): {6: 59811, 5: 38393, 4: 1792, 3: 4}, ("Distincts", 7, 5): {5: 27728, 6: 71743, 4: 529}, ("Distincts", 7, 6): {6: 80419, 5: 19417, 4: 164}, ("Distincts", 7, 7): {6: 86382, 5: 13565, 4: 53}, ("Distincts", 7, 8): {6: 90455, 5: 9531, 4: 14}, ("Distincts", 8, 1): {5: 44977, 4: 36582, 6: 11304, 3: 6939, 2: 197, 1: 1}, ("Distincts", 8, 2): {6: 39803, 5: 50783, 4: 9181, 3: 231, 2: 2}, ("Distincts", 8, 3): {6: 63276, 5: 34748, 4: 1967, 3: 9}, ("Distincts", 8, 4): {6: 78603, 5: 21008, 4: 389}, ("Distincts", 8, 5): {6: 87408, 5: 12514, 4: 78}, ("Distincts", 8, 6): {6: 92823, 5: 7159, 4: 18}, ("Distincts", 8, 7): {6: 95821, 5: 4175, 4: 4}, ("Distincts", 8, 8): {6: 97560, 5: 2440}, ("TwosAndThrees", 1, 1): {0: 66466, 2: 16929, 3: 16605}, ("TwosAndThrees", 1, 2): {0: 55640, 2: 13812, 3: 30548}, ("TwosAndThrees", 1, 3): {3: 42178, 0: 46223, 2: 11599}, ("TwosAndThrees", 1, 4): {3: 51830, 0: 38552, 2: 9618}, ("TwosAndThrees", 1, 5): {0: 32320, 3: 59706, 2: 7974}, ("TwosAndThrees", 1, 6): {0: 26733, 3: 66583, 2: 6684}, ("TwosAndThrees", 1, 7): {3: 72148, 0: 22289, 2: 5563}, ("TwosAndThrees", 1, 8): {3: 76636, 0: 18676, 2: 4688}, ("TwosAndThrees", 2, 1): {3: 22335, 2: 21965, 0: 44565, 4: 2837, 5: 5615, 6: 2683}, ("TwosAndThrees", 2, 2): {3: 33956, 0: 30855, 6: 9438, 2: 15480, 5: 8278, 4: 1993}, ("TwosAndThrees", 2, 3): {0: 21509, 3: 38995, 6: 17586, 2: 10838, 5: 9727, 4: 1345}, ("TwosAndThrees", 2, 4): {6: 26659, 3: 40188, 5: 9825, 2: 7489, 0: 14935, 4: 904}, ("TwosAndThrees", 2, 5): {3: 38402, 6: 35581, 2: 5169, 5: 9671, 0: 10492, 4: 685}, ("TwosAndThrees", 2, 6): {3: 35460, 6: 44295, 5: 8994, 0: 7185, 2: 3590, 4: 476}, ("TwosAndThrees", 2, 7): {6: 52017, 3: 32147, 0: 4880, 5: 8139, 2: 2495, 4: 322}, ("TwosAndThrees", 2, 8): {3: 28213, 5: 7294, 6: 59058, 0: 3464, 4: 223, 2: 1748}, ("TwosAndThrees", 3, 1): {3: 22284, 0: 29892, 6: 6003, 4: 5497, 5: 11005, 2: 22136, 8: 1368, 7: 1366, 9: 449}, ("TwosAndThrees", 3, 2): {5: 14092, 2: 12757, 3: 28287, 6: 15822, 0: 17285, 7: 1730, 4: 3213, 9: 2873, 8: 3941}, ("TwosAndThrees", 3, 3): {6: 24863, 3: 27111, 9: 7340, 5: 13522, 8: 6154, 0: 9889, 4: 1847, 2: 7547, 7: 1727}, ("TwosAndThrees", 3, 4): {9: 13765, 6: 31427, 5: 11617, 3: 23072, 8: 7719, 0: 5717, 4: 1000, 2: 4245, 7: 1438}, ("TwosAndThrees", 3, 5): {5: 9296, 6: 34570, 0: 3347, 3: 18506, 4: 617, 9: 21395, 2: 2448, 8: 8683, 7: 1138}, ("TwosAndThrees", 3, 6): {8: 8820, 3: 14399, 6: 35444, 5: 7148, 9: 29632, 0: 1821, 2: 1452, 7: 943, 4: 341}, ("TwosAndThrees", 3, 7): {9: 37501, 3: 10672, 8: 8739, 6: 34879, 5: 5345, 7: 725, 2: 835, 4: 222, 0: 1082}, ("TwosAndThrees", 3, 8): {6: 33047, 9: 45099, 3: 8099, 8: 8018, 5: 4003, 0: 667, 2: 457, 7: 490, 4: 120}, ("TwosAndThrees", 4, 1): {3: 19811, 9: 1565, 2: 19764, 0: 19619, 6: 8721, 5: 14893, 4: 7306, 8: 3801, 11: 319, 7: 3672, 12: 60, 10: 469}, ("TwosAndThrees", 4, 2): {2: 9519, 9: 6678, 5: 15873, 6: 18083, 7: 3876, 8: 8667, 3: 20826, 0: 9395, 4: 3581, 12: 830, 10: 1077, 11: 1595}, ("TwosAndThrees", 4, 3): {12: 3245, 3: 16598, 8: 11445, 5: 12541, 2: 4676, 6: 23294, 0: 4538, 11: 3442, 4: 1694, 10: 1454, 9: 14017, 7: 3056}, ("TwosAndThrees", 4, 4): {8: 11841, 12: 7183, 6: 24218, 3: 11827, 9: 21496, 11: 5412, 10: 1447, 4: 827, 7: 2251, 5: 9096, 0: 2183, 2: 2219}, ("TwosAndThrees", 4, 5): {5: 6024, 9: 27693, 8: 11169, 12: 12776, 3: 7946, 10: 1428, 6: 22064, 2: 1078, 11: 6926, 0: 987, 4: 381, 7: 1528}, ("TwosAndThrees", 4, 6): {9: 31606, 5: 3815, 8: 9649, 11: 7894, 3: 5070, 12: 19495, 6: 19042, 10: 1243, 2: 514, 7: 971, 0: 530, 4: 171}, ("TwosAndThrees", 4, 7): {6: 15556, 3: 3337, 9: 33379, 12: 26771, 5: 2427, 11: 8601, 2: 239, 8: 7881, 10: 918, 0: 224, 7: 584, 4: 83}, ("TwosAndThrees", 4, 8): {11: 8379, 6: 12179, 8: 6079, 9: 33703, 2: 130, 12: 34875, 3: 1931, 5: 1468, 10: 738, 7: 353, 0: 123, 4: 42}, ("TwosAndThrees", 5, 1): {8: 6572, 5: 16396, 6: 10247, 4: 8172, 3: 16607, 2: 16414, 7: 6170, 0: 13070, 9: 3061, 10: 1591, 11: 1136, 12: 374, 13: 124, 14: 55, 15: 11}, ("TwosAndThrees", 5, 2): {6: 16838, 8: 12090, 5: 14763, 7: 5565, 2: 6515, 3: 14466, 10: 3040, 0: 5213, 9: 9616, 12: 2659, 4: 3294, 11: 4470, 14: 636, 13: 578, 15: 257}, ("TwosAndThrees", 5, 3): {5: 9700, 3: 9638, 6: 17947, 11: 8066, 9: 16835, 8: 13214, 13: 1039, 7: 3741, 0: 2126, 12: 7402, 4: 1321, 2: 2581, 15: 1332, 14: 1842, 10: 3216}, ("TwosAndThrees", 5, 4): {6: 15410, 9: 20661, 15: 3811, 5: 5781, 14: 3435, 10: 3042, 11: 10468, 8: 11579, 7: 2157, 3: 5807, 12: 14158, 0: 848, 13: 1264, 2: 1086, 4: 493}, ("TwosAndThrees", 5, 5): {12: 20783, 14: 5166, 6: 12042, 9: 22225, 8: 8829, 11: 11126, 3: 3222, 7: 1226, 10: 2220, 15: 7632, 5: 3184, 13: 1346, 2: 401, 0: 380, 4: 218}, ("TwosAndThrees", 5, 6): {15: 13013, 14: 6551, 12: 26214, 9: 21305, 11: 10593, 10: 1597, 8: 6610, 6: 8412, 5: 1670, 13: 1307, 3: 1698, 7: 653, 0: 123, 2: 172, 4: 82}, ("TwosAndThrees", 5, 7): {14: 7512, 11: 9332, 9: 18653, 6: 5940, 8: 4428, 15: 19396, 12: 30190, 13: 1142, 10: 1106, 3: 896, 7: 332, 5: 908, 4: 41, 0: 59, 2: 65}, ("TwosAndThrees", 5, 8): {6: 3768, 9: 15520, 14: 7963, 15: 26880, 12: 32501, 11: 7771, 8: 2819, 10: 666, 13: 973, 5: 459, 2: 30, 3: 470, 7: 153, 0: 13, 4: 14}, ("TwosAndThrees", 6, 1): {3: 13212, 2: 13135, 10: 3108, 0: 8955, 4: 8191, 8: 8621, 5: 16659, 6: 10713, 9: 4879, 7: 8276, 13: 496, 11: 2290, 14: 282, 17: 18, 12: 1026, 15: 100, 16: 37, 18: 2}, ("TwosAndThrees", 6, 2): {13: 1940, 9: 11416, 2: 4382, 11: 7676, 10: 5032, 6: 14157, 5: 11978, 8: 13344, 12: 4905, 3: 9661, 14: 2123, 15: 1026, 7: 6021, 0: 2944, 4: 2851, 16: 247, 17: 202, 18: 95}, ("TwosAndThrees", 6, 3): {9: 15493, 11: 11208, 2: 1507, 13: 2828, 15: 3924, 10: 4567, 6: 12595, 14: 5229, 5: 6758, 8: 12211, 12: 10862, 3: 5429, 7: 3404, 17: 912, 4: 933, 18: 529, 0: 977, 16: 634}, ("TwosAndThrees", 6, 4): {8: 9036, 15: 8762, 11: 12021, 10: 3287, 12: 16325, 9: 16299, 14: 8216, 18: 1928, 17: 2081, 6: 9147, 7: 1667, 4: 294, 2: 545, 16: 1007, 5: 3351, 3: 2723, 13: 2991, 0: 320}, ("TwosAndThrees", 6, 5): {15: 15030, 9: 14359, 13: 2648, 10: 2136, 12: 20394, 8: 5744, 6: 5681, 14: 10049, 11: 10563, 18: 4564, 17: 3669, 5: 1525, 3: 1189, 16: 1251, 2: 184, 7: 777, 4: 123, 0: 114}, ("TwosAndThrees", 6, 6): {11: 8492, 15: 21066, 12: 21369, 17: 5246, 6: 3342, 16: 1335, 14: 10649, 8: 3453, 18: 8568, 10: 1300, 9: 11370, 3: 543, 13: 2098, 5: 696, 7: 350, 2: 64, 4: 25, 0: 34}, ("TwosAndThrees", 6, 7): {18: 14118, 14: 10107, 17: 6654, 15: 26139, 12: 20371, 9: 8281, 13: 1535, 16: 1221, 3: 221, 11: 6214, 6: 1923, 8: 1973, 10: 715, 5: 334, 7: 158, 0: 14, 4: 5, 2: 17}, ("TwosAndThrees", 6, 8): {15: 29815, 18: 20433, 5: 123, 11: 4522, 12: 17854, 14: 8991, 17: 7602, 3: 107, 9: 5741, 8: 1043, 10: 416, 13: 1062, 16: 1197, 6: 1007, 7: 69, 0: 7, 2: 9, 4: 2}, ("TwosAndThrees", 7, 1): {8: 10304, 0: 5802, 2: 10380, 11: 3830, 7: 9559, 10: 5017, 5: 15384, 4: 7689, 3: 10100, 9: 6289, 13: 1211, 6: 11027, 12: 2088, 14: 735, 15: 309, 16: 177, 17: 59, 19: 11, 18: 27, 20: 2}, ("TwosAndThrees", 7, 2): {10: 6466, 0: 1605, 8: 13172, 7: 5824, 11: 9919, 13: 3610, 9: 11600, 14: 4206, 2: 2810, 6: 11269, 5: 9442, 12: 6844, 15: 2299, 3: 6242, 17: 923, 16: 966, 4: 2215, 18: 376, 19: 114, 20: 76, 21: 22}, ("TwosAndThrees", 7, 3): {6: 8288, 7: 2641, 3: 2956, 9: 13017, 8: 10013, 14: 8279, 16: 2082, 12: 12302, 11: 12133, 13: 4465, 18: 1968, 15: 6674, 10: 5028, 17: 3001, 5: 4265, 2: 792, 20: 437, 21: 258, 4: 558, 0: 471, 19: 372}, ("TwosAndThrees", 7, 4): {15: 12396, 9: 10994, 18: 5400, 21: 1006, 5: 1774, 17: 5917, 14: 10700, 12: 15357, 11: 11007, 20: 1270, 10: 3007, 8: 6030, 7: 1160, 6: 4949, 3: 1218, 13: 3950, 16: 2660, 2: 211, 19: 710, 4: 157, 0: 127}, ("TwosAndThrees", 7, 5): {17: 8259, 20: 2565, 15: 17220, 9: 8155, 5: 671, 18: 10513, 21: 2728, 6: 2533, 11: 8026, 12: 15164, 16: 2851, 8: 3249, 14: 11317, 13: 3008, 19: 1041, 4: 47, 7: 426, 10: 1653, 3: 478, 2: 56, 0: 40}, ("TwosAndThrees", 7, 6): {12: 13233, 14: 10114, 18: 16405, 15: 19936, 16: 2451, 21: 5650, 6: 1331, 20: 4044, 17: 9948, 11: 5449, 10: 827, 9: 5335, 19: 1171, 13: 1883, 8: 1584, 7: 180, 5: 249, 3: 166, 2: 18, 0: 9, 4: 17}, ("TwosAndThrees", 7, 7): {17: 10123, 20: 5583, 18: 22122, 15: 20423, 14: 7969, 21: 10113, 12: 10638, 11: 3321, 9: 3282, 16: 1910, 13: 1273, 19: 1293, 6: 591, 8: 779, 7: 55, 5: 86, 3: 59, 10: 368, 2: 4, 0: 6, 4: 2}, ("TwosAndThrees", 7, 8): {17: 9621, 21: 15780, 20: 6667, 12: 7854, 18: 26592, 14: 5885, 15: 19476, 5: 36, 8: 318, 19: 1247, 16: 1458, 9: 1983, 11: 1880, 13: 707, 6: 249, 10: 197, 7: 19, 3: 27, 2: 2, 0: 2}, ("TwosAndThrees", 8, 1): {12: 3210, 0: 3799, 7: 10309, 5: 13610, 10: 6648, 6: 10144, 3: 7840, 2: 7917, 9: 7504, 8: 11477, 4: 6794, 13: 2299, 11: 5342, 14: 1498, 16: 444, 15: 738, 17: 245, 19: 51, 18: 105, 20: 20, 21: 4, 22: 1, 23: 1}, ("TwosAndThrees", 8, 2): {11: 11041, 12: 8197, 5: 6900, 18: 1088, 9: 10605, 14: 6195, 8: 11961, 16: 2205, 10: 7327, 13: 5337, 6: 8536, 0: 902, 4: 1547, 15: 3891, 3: 4041, 7: 5214, 20: 384, 2: 1872, 17: 2062, 21: 155, 22: 37, 19: 479, 23: 17, 24: 7}, ("TwosAndThrees", 8, 3): {11: 11338, 12: 11675, 13: 5514, 15: 8898, 6: 5105, 17: 5667, 9: 9728, 8: 7389, 18: 3828, 22: 206, 19: 1391, 14: 10523, 16: 3854, 10: 4686, 7: 1931, 23: 227, 21: 1014, 20: 1681, 3: 1598, 4: 392, 5: 2625, 2: 422, 0: 201, 24: 107}, ("TwosAndThrees", 8, 4): {17: 9133, 12: 11960, 15: 13098, 16: 4254, 11: 8286, 9: 6908, 20: 3995, 21: 3323, 14: 11359, 10: 2363, 18: 8743, 13: 4118, 19: 2217, 8: 3661, 24: 520, 7: 648, 6: 2558, 23: 768, 22: 471, 3: 518, 2: 97, 5: 884, 4: 75, 0: 43}, ("TwosAndThrees", 8, 5): {21: 7245, 13: 2524, 16: 3469, 12: 9934, 11: 5061, 17: 10743, 15: 14970, 18: 14072, 24: 1671, 14: 9578, 10: 1007, 20: 6621, 6: 1110, 9: 4201, 19: 2728, 23: 1727, 8: 1714, 22: 848, 5: 316, 3: 188, 7: 211, 0: 16, 2: 16, 4: 30}, ("TwosAndThrees", 8, 6): {20: 8749, 15: 14205, 8: 683, 14: 7037, 18: 17783, 17: 10618, 23: 3141, 9: 2273, 24: 3858, 5: 96, 12: 7143, 21: 12731, 13: 1405, 11: 2957, 22: 1109, 19: 2548, 6: 474, 16: 2612, 10: 436, 3: 57, 7: 68, 2: 8, 4: 6, 0: 3}, ("TwosAndThrees", 8, 7): {21: 18331, 18: 19896, 20: 9757, 16: 1804, 23: 4503, 19: 2324, 24: 7305, 17: 8935, 12: 4725, 15: 12345, 22: 1237, 13: 775, 9: 1167, 14: 4727, 11: 1485, 6: 176, 8: 251, 10: 195, 3: 16, 7: 19, 5: 24, 0: 1, 4: 1, 2: 1}, ("TwosAndThrees", 8, 8): {21: 23586, 20: 10020, 15: 9640, 18: 19736, 24: 12112, 17: 7289, 23: 5802, 22: 1233, 14: 2918, 19: 1781, 12: 2912, 9: 557, 16: 1068, 13: 390, 11: 718, 8: 90, 6: 66, 7: 7, 10: 61, 5: 7, 3: 7}, ("SumOfOdds", 1, 1): {0: 50084, 3: 16584, 1: 16488, 5: 16844}, ("SumOfOdds", 1, 2): {0: 33472, 3: 27886, 1: 11017, 5: 27625}, ("SumOfOdds", 1, 3): {0: 27892, 5: 39809, 1: 9293, 3: 23006}, ("SumOfOdds", 1, 4): {3: 19299, 5: 49784, 0: 23060, 1: 7857}, ("SumOfOdds", 1, 5): {5: 58167, 3: 15941, 1: 6559, 0: 19333}, ("SumOfOdds", 1, 6): {5: 65098, 0: 16250, 1: 5428, 3: 13224}, ("SumOfOdds", 1, 7): {5: 70969, 3: 11191, 0: 13420, 1: 4420}, ("SumOfOdds", 1, 8): {5: 75949, 0: 11042, 3: 9361, 1: 3648}, ("SumOfOdds", 2, 1): {5: 16856, 8: 5540, 6: 8312, 4: 5580, 0: 24611, 1: 16800, 3: 16654, 2: 2815, 10: 2832}, ("SumOfOdds", 2, 2): {8: 15414, 3: 18386, 6: 13858, 0: 11216, 4: 6190, 5: 18558, 10: 7773, 1: 7355, 2: 1250}, ("SumOfOdds", 2, 3): {1: 5252, 6: 12709, 3: 12782, 8: 18363, 5: 22224, 10: 15919, 0: 7666, 4: 4273, 2: 812}, ("SumOfOdds", 2, 4): {3: 8914, 6: 11358, 5: 23132, 4: 2928, 10: 24940, 0: 5392, 1: 3585, 8: 19129, 2: 622}, ("SumOfOdds", 2, 5): {5: 22529, 0: 3735, 3: 6203, 4: 2093, 10: 33791, 8: 18712, 2: 415, 6: 10020, 1: 2502}, ("SumOfOdds", 2, 6): {0: 2606, 8: 17272, 6: 8852, 10: 42502, 3: 4279, 5: 20970, 1: 1769, 4: 1468, 2: 282}, ("SumOfOdds", 2, 7): {5: 19160, 8: 15860, 6: 7664, 10: 50054, 1: 1225, 3: 2939, 4: 1039, 0: 1872, 2: 187}, ("SumOfOdds", 2, 8): {5: 16853, 8: 14179, 10: 57618, 3: 2121, 6: 6400, 1: 781, 0: 1230, 4: 671, 2: 147}, ("SumOfOdds", 3, 1): {4: 8109, 5: 13902, 2: 4149, 8: 8321, 6: 12607, 1: 12587, 7: 2743, 3: 12861, 0: 12467, 9: 3339, 10: 4223, 11: 2801, 15: 479, 13: 1412}, ("SumOfOdds", 3, 2): {8: 15592, 1: 3633, 5: 10240, 13: 6362, 3: 9469, 10: 7709, 15: 2120, 6: 13852, 11: 9070, 9: 7284, 4: 6110, 7: 3557, 0: 3750, 2: 1252}, ("SumOfOdds", 3, 3): {6: 10744, 10: 13273, 7: 2564, 8: 15277, 3: 5427, 13: 11044, 11: 10759, 5: 9729, 15: 6204, 1: 2180, 9: 6354, 4: 3603, 0: 2140, 2: 702}, ("SumOfOdds", 3, 4): {8: 13319, 6: 7837, 11: 11288, 9: 5211, 13: 14216, 15: 12408, 4: 2122, 3: 3247, 10: 17343, 7: 1738, 5: 8380, 1: 1212, 0: 1265, 2: 414}, ("SumOfOdds", 3, 5): {11: 10985, 10: 19378, 13: 16370, 5: 6682, 6: 5931, 8: 10857, 9: 4058, 15: 19804, 7: 1250, 1: 660, 3: 1831, 2: 246, 4: 1236, 0: 712}, ("SumOfOdds", 3, 6): {15: 27548, 5: 5144, 13: 17133, 10: 20496, 8: 8411, 11: 10472, 6: 4205, 9: 2961, 1: 398, 2: 146, 3: 1070, 4: 746, 7: 864, 0: 406}, ("SumOfOdds", 3, 7): {8: 6397, 15: 35967, 10: 20125, 9: 2262, 5: 3882, 0: 233, 4: 399, 11: 9495, 13: 16763, 6: 3021, 7: 607, 1: 235, 3: 539, 2: 75}, ("SumOfOdds", 3, 8): {15: 43436, 6: 2174, 10: 19242, 13: 16221, 11: 8430, 8: 4737, 9: 1594, 5: 2863, 3: 352, 7: 406, 1: 130, 0: 146, 4: 214, 2: 55}, ("SumOfOdds", 4, 1): {11: 5334, 12: 1465, 5: 11215, 14: 1216, 3: 9225, 6: 12932, 1: 8440, 7: 5618, 4: 8433, 10: 5290, 0: 6192, 8: 9117, 16: 760, 9: 6474, 2: 4238, 13: 2744, 15: 930, 18: 299, 20: 78}, ("SumOfOdds", 4, 2): {7: 4928, 20: 589, 9: 9721, 14: 5301, 18: 2447, 13: 8342, 10: 7201, 4: 4099, 8: 11060, 15: 2925, 6: 9467, 3: 4253, 11: 11978, 12: 3975, 1: 1599, 16: 4530, 5: 5463, 0: 1267, 2: 855}, ("SumOfOdds", 4, 3): {15: 7108, 8: 9018, 10: 8843, 20: 2524, 18: 5690, 16: 7373, 9: 7238, 11: 11998, 12: 3466, 13: 12173, 14: 5857, 4: 2033, 6: 5991, 1: 817, 2: 382, 3: 2070, 5: 4051, 0: 579, 7: 2789}, ("SumOfOdds", 4, 4): {5: 2645, 14: 5928, 8: 6372, 11: 10474, 13: 13555, 12: 2765, 16: 9426, 15: 11453, 18: 9512, 10: 8758, 6: 3695, 20: 6196, 4: 912, 2: 187, 9: 4810, 3: 1009, 0: 295, 7: 1637, 1: 371}, ("SumOfOdds", 4, 5): {20: 11573, 11: 8461, 15: 15171, 8: 4270, 16: 10401, 13: 12479, 18: 12704, 14: 5099, 10: 8159, 6: 2313, 9: 3010, 5: 1893, 12: 2054, 4: 520, 7: 932, 1: 194, 3: 528, 0: 136, 2: 103}, ("SumOfOdds", 4, 6): {14: 4251, 10: 7130, 15: 17784, 11: 6594, 20: 17780, 18: 14865, 13: 11039, 16: 10571, 8: 2849, 9: 1928, 6: 1369, 12: 1509, 7: 583, 5: 1123, 0: 75, 3: 225, 4: 198, 1: 84, 2: 43}, ("SumOfOdds", 4, 7): {11: 5056, 15: 19254, 20: 25294, 18: 15947, 12: 1124, 16: 10290, 13: 9005, 8: 1697, 9: 1202, 14: 3338, 5: 703, 3: 129, 10: 5644, 7: 317, 6: 798, 4: 112, 2: 19, 1: 38, 0: 33}, ("SumOfOdds", 4, 8): {15: 19503, 18: 16250, 10: 4365, 20: 33016, 13: 7294, 16: 9512, 11: 3635, 14: 2618, 6: 480, 12: 747, 9: 760, 0: 15, 8: 1001, 4: 64, 5: 448, 1: 22, 2: 17, 7: 203, 3: 50}, ("SumOfOdds", 5, 1): {5: 8737, 8: 8879, 11: 7319, 7: 7013, 16: 1886, 6: 11185, 9: 8310, 10: 6485, 14: 3092, 4: 7062, 0: 3061, 13: 4040, 3: 6431, 1: 5196, 17: 609, 12: 3785, 15: 1883, 19: 406, 2: 3389, 18: 788, 21: 205, 20: 172, 23: 48, 25: 19}, ("SumOfOdds", 5, 2): {4: 2325, 12: 6880, 21: 1941, 5: 2829, 17: 3048, 18: 4003, 11: 10285, 16: 7538, 14: 8806, 9: 8227, 8: 6951, 3: 1889, 7: 4166, 13: 8344, 10: 6439, 1: 723, 6: 5351, 19: 2919, 15: 4531, 0: 421, 23: 787, 20: 977, 2: 455, 25: 165}, ("SumOfOdds", 5, 3): {13: 9355, 7: 1955, 15: 6633, 23: 2922, 10: 5293, 9: 5007, 8: 4456, 11: 8533, 5: 1584, 16: 10471, 14: 8325, 18: 8174, 6: 2861, 21: 4463, 12: 4910, 3: 715, 19: 4741, 25: 1017, 20: 3505, 17: 3498, 4: 938, 1: 292, 2: 179, 0: 173}, ("SumOfOdds", 5, 4): {15: 8218, 10: 4157, 11: 6088, 21: 7049, 6: 1464, 18: 10977, 9: 2814, 12: 3036, 17: 3222, 23: 5968, 16: 10748, 13: 8276, 19: 5463, 20: 7264, 14: 6799, 3: 322, 8: 2685, 7: 929, 25: 3023, 5: 899, 4: 353, 0: 60, 2: 65, 1: 121}, ("SumOfOdds", 5, 5): {23: 9242, 21: 8982, 18: 12099, 16: 9890, 13: 6376, 14: 5000, 7: 416, 15: 8283, 25: 6730, 10: 2969, 20: 11138, 19: 5449, 11: 4198, 17: 2686, 8: 1446, 6: 749, 9: 1508, 12: 1961, 5: 490, 4: 169, 3: 124, 2: 23, 1: 40, 0: 32}, ("SumOfOdds", 5, 6): {16: 8471, 14: 3473, 15: 7862, 20: 14372, 18: 11813, 23: 11945, 13: 4540, 25: 11854, 17: 2176, 21: 9884, 19: 5053, 7: 214, 11: 2724, 10: 2039, 12: 1252, 5: 265, 8: 764, 9: 796, 6: 351, 3: 52, 0: 14, 4: 51, 2: 10, 1: 25}, ("SumOfOdds", 5, 7): {21: 10043, 15: 6797, 18: 10646, 20: 17146, 16: 6743, 23: 14100, 25: 18070, 14: 2413, 13: 3129, 17: 1582, 11: 1707, 19: 4232, 10: 1317, 12: 758, 8: 419, 9: 393, 7: 117, 6: 212, 0: 4, 5: 121, 3: 14, 4: 29, 1: 5, 2: 3}, ("SumOfOdds", 5, 8): {19: 3530, 25: 25173, 16: 5196, 14: 1481, 23: 15254, 20: 18491, 21: 9907, 18: 8924, 15: 5707, 11: 1045, 17: 1194, 13: 2121, 9: 226, 12: 432, 10: 885, 8: 209, 6: 87, 5: 73, 3: 11, 7: 43, 2: 2, 4: 7, 0: 2}, ("SumOfOdds", 6, 1): {3: 4224, 8: 8145, 5: 6613, 7: 7139, 11: 8130, 4: 5575, 1: 3156, 12: 5541, 14: 4722, 18: 1450, 15: 3188, 6: 9118, 9: 8689, 10: 7075, 16: 3201, 19: 1145, 13: 5215, 2: 2581, 0: 1673, 17: 1683, 21: 583, 20: 581, 22: 197, 24: 99, 23: 176, 25: 45, 26: 37, 28: 18, 30: 1}, ("SumOfOdds", 6, 2): {21: 3933, 14: 9068, 15: 6211, 16: 8370, 17: 6093, 23: 1654, 6: 2896, 20: 2831, 18: 5227, 19: 5836, 13: 7405, 10: 4912, 12: 6840, 9: 5601, 3: 789, 7: 2738, 11: 7613, 8: 4025, 4: 1143, 24: 1487, 26: 784, 5: 1464, 2: 207, 22: 1829, 25: 309, 28: 284, 0: 153, 30: 44, 1: 254}, ("SumOfOdds", 6, 3): {14: 7165, 16: 8872, 12: 4062, 19: 7784, 9: 2863, 18: 7891, 17: 5775, 10: 3056, 26: 2610, 20: 4889, 21: 7711, 15: 6056, 11: 4913, 28: 1319, 13: 6032, 22: 2922, 23: 4730, 8: 2096, 6: 1241, 25: 1697, 5: 678, 24: 3166, 7: 1136, 4: 431, 2: 81, 3: 276, 30: 408, 0: 52, 1: 88}, ("SumOfOdds", 6, 4): {20: 6653, 15: 5033, 26: 4922, 28: 3412, 18: 8483, 13: 4254, 23: 8187, 16: 7827, 12: 2170, 21: 9709, 19: 7579, 14: 4910, 7: 425, 17: 4469, 9: 1345, 24: 4611, 25: 4315, 22: 3138, 11: 2995, 10: 1844, 8: 1069, 30: 1562, 6: 531, 4: 139, 3: 73, 5: 291, 1: 25, 0: 14, 2: 15}, ("SumOfOdds", 6, 5): {11: 1732, 24: 5058, 10: 938, 19: 6276, 14: 2902, 23: 10694, 30: 3884, 28: 6388, 26: 7087, 25: 7754, 8: 448, 22: 2967, 16: 5943, 15: 4038, 21: 10212, 20: 7845, 18: 7634, 17: 3138, 12: 1215, 13: 2669, 4: 46, 9: 598, 5: 100, 6: 204, 3: 28, 7: 171, 0: 13, 2: 9, 1: 9}, ("SumOfOdds", 6, 6): {18: 6055, 28: 9447, 25: 11411, 16: 4061, 14: 1658, 30: 7796, 23: 11565, 21: 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6164}, ("DoubleThreesAndFours", 2, 5): {8: 22620, 14: 26822, 12: 6057, 16: 30189, 6: 10005, 0: 4307}, ("DoubleThreesAndFours", 2, 6): {14: 25326, 16: 39078, 0: 2879, 12: 4204, 8: 21466, 6: 7047}, ("DoubleThreesAndFours", 2, 7): {16: 47373, 8: 19698, 14: 23404, 6: 4637, 12: 2846, 0: 2042}, ("DoubleThreesAndFours", 2, 8): {16: 54542, 14: 20907, 0: 1385, 8: 17795, 6: 3373, 12: 1998}, ("DoubleThreesAndFours", 3, 1): {8: 22138, 0: 29378, 24: 480, 6: 22335, 14: 11232, 12: 5551, 16: 5702, 22: 1429, 20: 1344, 18: 411}, ("DoubleThreesAndFours", 3, 2): {6: 16518, 0: 8894, 14: 20757, 24: 2162, 16: 10163, 8: 16277, 12: 10334, 20: 6399, 18: 2102, 22: 6394}, ("DoubleThreesAndFours", 3, 3): {20: 12900, 6: 9270, 18: 4335, 8: 9252, 22: 13101, 14: 21922, 12: 11066, 16: 11045, 0: 2643, 24: 4466}, ("DoubleThreesAndFours", 3, 4): {14: 20310, 16: 15697, 8: 8330, 12: 6223, 6: 5443, 20: 11695, 24: 9679, 22: 18521, 0: 1523, 18: 2579}, ("DoubleThreesAndFours", 3, 5): {24: 16491, 14: 16545, 12: 3700, 20: 9740, 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("DoubleThreesAndFours", 6, 7): {32: 7113, 42: 3210, 44: 9660, 46: 15581, 38: 16374, 48: 10353, 40: 13795, 30: 6708, 36: 8028, 24: 1921, 34: 1922, 20: 355, 28: 2646, 26: 437, 22: 1401, 16: 278, 14: 145, 8: 28, 18: 31, 6: 2, 12: 11, 0: 1}, ("DoubleThreesAndFours", 6, 8): {46: 18638, 30: 4988, 40: 16076, 24: 1352, 38: 15017, 48: 16432, 36: 5846, 32: 6450, 44: 9045, 20: 143, 28: 1404, 42: 2271, 34: 1121, 26: 160, 16: 162, 22: 812, 14: 61, 12: 9, 8: 9, 18: 4}, ("DoubleThreesAndFours", 7, 1): {16: 7739, 6: 10242, 22: 9715, 20: 9418, 14: 15252, 8: 10404, 24: 4020, 12: 7634, 44: 141, 0: 5803, 18: 3195, 30: 3270, 40: 276, 28: 4897, 32: 1409, 34: 1182, 36: 1226, 38: 668, 42: 226, 26: 3173, 46: 71, 48: 17, 50: 16, 54: 1, 52: 5}, ("DoubleThreesAndFours", 7, 2): {20: 8788, 12: 2776, 28: 11132, 44: 2245, 38: 4228, 34: 6959, 42: 2873, 18: 2867, 36: 7000, 32: 5286, 0: 357, 30: 7900, 40: 2927, 26: 7287, 16: 2846, 22: 8736, 46: 1083, 24: 4687, 14: 5631, 6: 1500, 48: 593, 8: 1462, 50: 446, 56: 17, 52: 276, 54: 98}, ("DoubleThreesAndFours", 7, 3): {42: 7821, 36: 10081, 34: 10088, 30: 6641, 38: 7494, 50: 2457, 28: 8269, 26: 5630, 32: 6333, 40: 6987, 52: 1356, 44: 6306, 20: 3613, 16: 593, 24: 2466, 48: 2709, 46: 3838, 18: 1218, 12: 568, 22: 3517, 6: 177, 8: 170, 54: 442, 14: 1144, 0: 14, 56: 68}, ("DoubleThreesAndFours", 7, 4): {46: 7244, 48: 4033, 30: 6379, 44: 10218, 20: 1553, 42: 8597, 28: 5838, 52: 3713, 38: 9398, 50: 3948, 32: 4601, 40: 6630, 36: 10741, 34: 6715, 22: 2413, 24: 1659, 26: 2455, 54: 1886, 16: 409, 12: 175, 56: 464, 14: 499, 18: 333, 8: 51, 6: 43, 0: 5}, ("DoubleThreesAndFours", 7, 5): {44: 11990, 48: 5993, 32: 3707, 36: 8930, 28: 3284, 18: 109, 42: 6888, 50: 4653, 38: 10182, 52: 6259, 46: 11137, 54: 4781, 34: 3996, 56: 1472, 22: 1391, 40: 6767, 26: 963, 24: 1144, 16: 242, 30: 5190, 20: 603, 6: 16, 14: 225, 8: 23, 12: 49, 0: 6}, ("DoubleThreesAndFours", 7, 6): {38: 9755, 52: 8339, 46: 14027, 30: 3572, 36: 6292, 40: 7116, 54: 8347, 50: 4510, 34: 2079, 56: 3697, 42: 5017, 44: 11451, 48: 8688, 28: 1705, 22: 755, 24: 789, 32: 3005, 14: 65, 20: 239, 16: 134, 26: 357, 18: 36, 8: 10, 12: 15}, ("DoubleThreesAndFours", 7, 7): {50: 3831, 46: 15829, 44: 9719, 36: 4015, 38: 8195, 40: 7156, 42: 3220, 30: 2281, 54: 12409, 56: 7255, 32: 2381, 52: 9257, 48: 11561, 26: 133, 22: 341, 34: 923, 28: 853, 24: 452, 20: 81, 16: 60, 18: 9, 14: 27, 12: 5, 8: 5, 6: 2}, ("DoubleThreesAndFours", 7, 8): {56: 12116, 52: 9418, 38: 6452, 48: 14055, 32: 1809, 54: 16183, 30: 1357, 50: 3002, 36: 2363, 46: 15616, 40: 6757, 42: 1859, 44: 7554, 24: 285, 16: 30, 34: 481, 22: 175, 14: 10, 28: 379, 20: 42, 26: 55, 8: 1, 12: 1}, ("DoubleThreesAndFours", 8, 1): {24: 4614, 16: 6920, 34: 2175, 14: 13657, 30: 4504, 0: 3982, 20: 10167, 12: 6731, 22: 10162, 36: 2120, 28: 6414, 32: 2079, 18: 3314, 26: 4302, 6: 7946, 8: 7712, 44: 379, 38: 1218, 40: 633, 42: 533, 50: 59, 48: 108, 46: 204, 56: 7, 52: 39, 60: 1, 54: 15, 58: 5}, ("DoubleThreesAndFours", 8, 2): {30: 7306, 42: 5074, 28: 9769, 44: 4004, 26: 6631, 40: 4617, 12: 1685, 20: 6475, 22: 6445, 50: 1654, 36: 8364, 32: 5644, 16: 1623, 14: 3393, 46: 2396, 6: 749, 34: 8035, 24: 3639, 38: 5473, 54: 537, 18: 2090, 48: 1840, 52: 1069, 8: 735, 58: 188, 62: 29, 56: 294, 0: 161, 60: 80, 64: 1}, ("DoubleThreesAndFours", 8, 3): {44: 8078, 34: 8086, 42: 9356, 36: 8106, 38: 6904, 28: 4918, 40: 7729, 30: 4044, 32: 4752, 46: 5989, 50: 5725, 52: 4060, 48: 6119, 58: 1298, 54: 2440, 24: 1345, 22: 1657, 26: 3379, 20: 1620, 56: 1856, 18: 582, 6: 58, 14: 525, 64: 31, 62: 167, 60: 670, 8: 53, 12: 214, 16: 233, 0: 6}, ("DoubleThreesAndFours", 8, 4): {42: 8437, 48: 6657, 44: 10354, 54: 4862, 36: 7211, 34: 4515, 50: 7755, 52: 7763, 56: 3204, 60: 2271, 30: 3188, 20: 611, 46: 8005, 38: 6651, 32: 2521, 40: 5753, 58: 2769, 22: 950, 24: 729, 26: 1214, 28: 2819, 16: 151, 62: 1044, 14: 161, 18: 137, 64: 176, 12: 56, 8: 22, 0: 1, 6: 13}, ("DoubleThreesAndFours", 8, 5): {52: 10531, 60: 4703, 54: 8556, 40: 4470, 44: 9760, 36: 4863, 18: 29, 42: 5705, 50: 7637, 58: 4174, 48: 6812, 28: 1342, 56: 4701, 46: 9599, 30: 2068, 64: 852, 38: 5795, 62: 3095, 24: 376, 32: 1531, 22: 458, 34: 2192, 26: 394, 16: 60, 20: 226, 12: 12, 14: 51, 8: 6, 6: 2}, ("DoubleThreesAndFours", 8, 6): {62: 6075, 44: 7896, 50: 6139, 54: 12058, 60: 6904, 64: 2228, 58: 4472, 38: 4423, 46: 9936, 48: 6877, 52: 11631, 56: 6986, 42: 3493, 36: 2900, 40: 3520, 22: 198, 28: 607, 30: 1238, 34: 915, 32: 1017, 24: 216, 26: 152, 18: 8, 20: 65, 16: 27, 14: 14, 0: 2, 12: 3}, ("DoubleThreesAndFours", 8, 7): {56: 9724, 60: 8403, 54: 14541, 38: 3201, 50: 4302, 52: 10602, 44: 5588, 40: 2855, 46: 9100, 58: 4125, 62: 9808, 36: 1437, 48: 7192, 32: 687, 42: 1827, 64: 5089, 24: 110, 30: 659, 28: 234, 22: 81, 26: 28, 34: 363, 14: 6, 16: 10, 20: 24, 8: 1, 12: 1, 6: 1, 18: 1}, ("DoubleThreesAndFours", 8, 8): {62: 13539, 52: 8871, 48: 7127, 60: 9206, 64: 9203, 50: 2679, 46: 7646, 56: 12383, 54: 15467, 42: 851, 30: 298, 44: 3621, 38: 2026, 58: 3339, 40: 2268, 36: 703, 32: 421, 16: 4, 34: 150, 28: 99, 22: 36, 20: 4, 24: 46, 26: 12, 8: 1}, ("QuadrupleOnesAndTwos", 1, 1): {8: 16630, 0: 66567, 4: 16803}, ("QuadrupleOnesAndTwos", 1, 2): {4: 27448, 0: 44809, 8: 27743}, ("QuadrupleOnesAndTwos", 1, 3): {0: 37100, 4: 23184, 8: 39716}, ("QuadrupleOnesAndTwos", 1, 4): {0: 30963, 8: 49816, 4: 19221}, ("QuadrupleOnesAndTwos", 1, 5): {8: 58605, 4: 16079, 0: 25316}, ("QuadrupleOnesAndTwos", 1, 6): {0: 21505, 8: 65258, 4: 13237}, ("QuadrupleOnesAndTwos", 1, 7): {0: 17676, 8: 71224, 4: 11100}, ("QuadrupleOnesAndTwos", 1, 8): {0: 14971, 8: 75706, 4: 9323}, ("QuadrupleOnesAndTwos", 2, 1): {0: 44566, 4: 22273, 8: 24842, 16: 2834, 12: 5485}, ("QuadrupleOnesAndTwos", 2, 2): {0: 19963, 12: 15172, 16: 7713, 4: 24890, 8: 32262}, ("QuadrupleOnesAndTwos", 2, 3): {0: 13766, 8: 34907, 16: 15630, 4: 17158, 12: 18539}, ("QuadrupleOnesAndTwos", 2, 4): {8: 34465, 12: 19108, 16: 24903, 0: 9543, 4: 11981}, ("QuadrupleOnesAndTwos", 2, 5): {16: 34144, 4: 8302, 8: 32470, 12: 18612, 0: 6472}, ("QuadrupleOnesAndTwos", 2, 6): {16: 42762, 8: 29716, 12: 17216, 0: 4569, 4: 5737}, ("QuadrupleOnesAndTwos", 2, 7): {12: 15756, 16: 50635, 8: 26489, 4: 3974, 0: 3146}, ("QuadrupleOnesAndTwos", 2, 8): {12: 14167, 16: 57266, 0: 2265, 8: 23578, 4: 2724}, ("QuadrupleOnesAndTwos", 3, 1): {12: 11557, 0: 29440, 8: 27747, 4: 22574, 16: 6892, 24: 459, 20: 1331}, ("QuadrupleOnesAndTwos", 3, 2): {8: 26434, 0: 8857, 12: 22986, 4: 16295, 16: 16799, 24: 2148, 20: 6481}, ("QuadrupleOnesAndTwos", 3, 3): {20: 11167, 12: 21685, 4: 9447, 0: 5063, 16: 24084, 8: 22255, 24: 6299}, ("QuadrupleOnesAndTwos", 3, 4): {24: 12448, 4: 5531, 8: 17681, 12: 18400, 16: 28524, 20: 14552, 0: 2864}, ("QuadrupleOnesAndTwos", 3, 5): {16: 30427, 24: 19843, 12: 14755, 8: 13478, 20: 16602, 0: 1676, 4: 3219}, ("QuadrupleOnesAndTwos", 3, 6): {24: 27625, 12: 11326, 16: 31125, 4: 1758, 8: 10259, 20: 16984, 0: 923}, ("QuadrupleOnesAndTwos", 3, 7): {24: 35548, 12: 8769, 16: 29367, 20: 17085, 0: 586, 8: 7543, 4: 1102}, ("QuadrupleOnesAndTwos", 3, 8): {24: 43483, 20: 16170, 12: 6388, 16: 27741, 8: 5277, 4: 607, 0: 334}, ("QuadrupleOnesAndTwos", 4, 1): {12: 16126, 20: 3979, 0: 19691, 8: 27288, 4: 19657, 16: 11167, 24: 1705, 28: 307, 32: 80}, ("QuadrupleOnesAndTwos", 4, 2): {4: 9776, 8: 19015, 16: 20986, 12: 22094, 0: 4023, 20: 13805, 24: 7340, 28: 2393, 32: 568}, ("QuadrupleOnesAndTwos", 4, 3): {12: 16853, 4: 4705, 0: 1848, 16: 22831, 8: 12411, 28: 5902, 20: 18400, 32: 2570, 24: 14480}, ("QuadrupleOnesAndTwos", 4, 4): {16: 21220, 24: 20615, 12: 12063, 20: 19266, 4: 2291, 0: 930, 32: 6088, 8: 8084, 28: 9443}, ("QuadrupleOnesAndTwos", 4, 5): {24: 25474, 20: 17910, 32: 11370, 28: 12864, 16: 18209, 12: 7649, 0: 424, 8: 4963, 4: 1137}, ("QuadrupleOnesAndTwos", 4, 6): {32: 18156, 24: 28256, 20: 15416, 12: 4931, 28: 14675, 16: 14796, 8: 3048, 4: 532, 0: 190}, ("QuadrupleOnesAndTwos", 4, 7): {20: 12289, 12: 3189, 28: 16052, 32: 25512, 24: 29181, 16: 11547, 8: 1871, 4: 244, 0: 115}, ("QuadrupleOnesAndTwos", 4, 8): {24: 28785, 32: 33333, 16: 8888, 28: 16180, 12: 1909, 20: 9679, 8: 1062, 4: 114, 0: 50}, ("QuadrupleOnesAndTwos", 5, 1): {0: 13112, 8: 24718, 4: 16534, 12: 18558, 16: 14547, 20: 7055, 24: 3810, 28: 1194, 32: 390, 36: 66, 40: 16}, ("QuadrupleOnesAndTwos", 5, 2): {4: 5529, 20: 18149, 12: 17687, 24: 12849, 16: 20808, 28: 6991, 32: 2980, 36: 871, 8: 12216, 0: 1764, 40: 156}, ("QuadrupleOnesAndTwos", 5, 3): {36: 2946, 24: 18643, 32: 7960, 20: 19002, 28: 12827, 12: 11074, 16: 17322, 8: 6362, 4: 2161, 0: 719, 40: 984}, ("QuadrupleOnesAndTwos", 5, 4): {32: 14218, 40: 2982, 28: 16398, 4: 847, 24: 20749, 16: 12913, 20: 15867, 36: 5931, 12: 6581, 8: 3209, 0: 305}, ("QuadrupleOnesAndTwos", 5, 5): {40: 6767, 24: 20010, 36: 9319, 20: 12037, 16: 8863, 32: 19789, 28: 17568, 4: 340, 8: 1729, 12: 3480, 0: 98}, ("QuadrupleOnesAndTwos", 5, 6): {24: 17830, 36: 12115, 40: 11918, 20: 8436, 32: 24246, 16: 5734, 28: 16864, 12: 1793, 4: 156, 8: 870, 0: 38}, ("QuadrupleOnesAndTwos", 5, 7): {32: 27238, 36: 14094, 28: 14969, 24: 14936, 40: 17918, 20: 5684, 16: 3712, 12: 924, 8: 445, 4: 51, 0: 29}, ("QuadrupleOnesAndTwos", 5, 8): {28: 12517, 36: 15339, 32: 28388, 40: 25046, 24: 11929, 16: 2344, 20: 3690, 12: 481, 8: 241, 4: 21, 0: 4}, ("QuadrupleOnesAndTwos", 6, 1): {4: 13011, 8: 21357, 24: 6249, 0: 8646, 16: 17008, 12: 19385, 20: 10409, 28: 2502, 36: 289, 32: 1041, 40: 96, 44: 6, 48: 1}, ("QuadrupleOnesAndTwos", 6, 2): {8: 7435, 20: 18814, 28: 11889, 16: 17480, 12: 12792, 24: 16492, 32: 6893, 0: 844, 36: 3013, 4: 2876, 40: 1124, 44: 304, 48: 44}, ("QuadrupleOnesAndTwos", 6, 3): {32: 13314, 12: 6431, 36: 8034, 28: 16506, 20: 15584, 24: 17967, 16: 11685, 40: 4204, 8: 3203, 48: 429, 44: 1402, 0: 264, 4: 977}, ("QuadrupleOnesAndTwos", 6, 4): {28: 17174, 36: 12820, 16: 6727, 40: 9289, 32: 17787, 24: 15746, 44: 3499, 20: 10562, 8: 1361, 4: 301, 12: 3077, 48: 1574, 0: 83}, ("QuadrupleOnesAndTwos", 6, 5): {32: 19588, 24: 12264, 44: 6410, 40: 14682, 36: 16002, 28: 14810, 20: 6466, 48: 3921, 16: 3781, 12: 1344, 4: 106, 8: 590, 0: 36}, ("QuadrupleOnesAndTwos", 6, 6): {40: 19906, 32: 19145, 36: 16864, 24: 8774, 8: 238, 48: 7617, 28: 11481, 44: 9386, 16: 2094, 12: 594, 20: 3849, 4: 40, 0: 12}, ("QuadrupleOnesAndTwos", 6, 7): {36: 16148, 32: 17207, 44: 11862, 40: 24051, 48: 12836, 24: 6015, 28: 8372, 16: 1032, 20: 2123, 12: 240, 8: 96, 4: 15, 0: 3}, ("QuadrupleOnesAndTwos", 6, 8): {36: 14585, 32: 14489, 24: 3868, 40: 26779, 28: 5738, 44: 13821, 48: 18879, 8: 40, 20: 1118, 16: 559, 12: 121, 0: 1, 4: 2}, ("QuadrupleOnesAndTwos", 7, 1): {24: 8617, 12: 18364, 8: 17905, 4: 10185, 16: 18160, 0: 5780, 32: 2221, 28: 4458, 20: 13115, 36: 827, 44: 77, 40: 266, 48: 23, 52: 2}, ("QuadrupleOnesAndTwos", 7, 2): {28: 15061, 24: 17562, 12: 8501, 16: 13204, 20: 16895, 4: 1436, 32: 11122, 40: 3259, 8: 4327, 44: 1279, 36: 6507, 0: 359, 52: 86, 48: 388, 56: 14}, ("QuadrupleOnesAndTwos", 7, 3): {12: 3419, 20: 11008, 36: 12681, 44: 4707, 24: 14839, 40: 8773, 8: 1544, 16: 7076, 32: 16118, 28: 16393, 48: 2126, 0: 84, 52: 637, 4: 437, 56: 158}, ("QuadrupleOnesAndTwos", 7, 4): {20: 6250, 48: 5741, 32: 16527, 36: 15938, 28: 13596, 40: 14071, 24: 10535, 44: 9192, 12: 1277, 8: 548, 16: 3362, 56: 733, 52: 2105, 4: 109, 0: 16}, ("QuadrupleOnesAndTwos", 7, 5): {28: 9400, 44: 13369, 32: 14443, 36: 15955, 20: 3100, 56: 2291, 48: 10702, 40: 17820, 16: 1506, 24: 6337, 52: 4316, 8: 185, 12: 538, 4: 35, 0: 3}, ("QuadrupleOnesAndTwos", 7, 6): {40: 19063, 56: 4910, 48: 15867, 32: 11398, 44: 15587, 52: 7202, 36: 13738, 24: 3747, 28: 5988, 20: 1535, 16: 694, 12: 199, 8: 63, 4: 8, 0: 1}, ("QuadrupleOnesAndTwos", 7, 7): {24: 2129, 52: 9969, 44: 16470, 36: 10801, 40: 18184, 56: 9078, 48: 20467, 28: 3595, 32: 8275, 20: 673, 16: 270, 12: 66, 8: 17, 4: 4, 0: 2}, ("QuadrupleOnesAndTwos", 7, 8): {48: 24388, 44: 15477, 52: 12403, 28: 2117, 56: 14425, 40: 16197, 32: 5715, 16: 107, 24: 1063, 36: 7770, 20: 307, 12: 24, 8: 6, 0: 1}, ("QuadrupleOnesAndTwos", 8, 1): {12: 17214, 8: 14638, 20: 14651, 4: 7682, 16: 18191, 24: 10976, 36: 1607, 0: 3811, 32: 3601, 28: 6591, 44: 234, 40: 725, 48: 64, 52: 14, 56: 1}, ("QuadrupleOnesAndTwos", 8, 2): {52: 470, 40: 6198, 28: 16246, 32: 14131, 24: 16213, 20: 13623, 36: 10076, 8: 2413, 16: 9421, 48: 1427, 12: 5355, 44: 3336, 4: 770, 0: 136, 56: 160, 60: 21, 64: 4}, ("QuadrupleOnesAndTwos", 8, 3): {32: 15751, 40: 12409, 20: 7201, 28: 13934, 16: 4021, 12: 1804, 36: 14882, 44: 8920, 56: 1006, 48: 5462, 24: 10733, 52: 2606, 64: 51, 8: 716, 60: 280, 4: 191, 0: 33}, ("QuadrupleOnesAndTwos", 8, 4): {48: 10706, 36: 14756, 44: 13795, 40: 15851, 32: 12990, 28: 9073, 16: 1518, 8: 194, 20: 3103, 24: 6057, 52: 6310, 56: 3456, 60: 1207, 64: 403, 12: 542, 4: 35, 0: 4}, ("QuadrupleOnesAndTwos", 8, 5): {44: 15382, 56: 7377, 40: 15561, 48: 15278, 60: 2918, 32: 8993, 52: 10629, 28: 5327, 24: 2989, 36: 12039, 64: 1326, 12: 178, 20: 1300, 16: 627, 4: 14, 8: 60, 0: 2}, ("QuadrupleOnesAndTwos", 8, 6): {56: 12425, 52: 14024, 48: 17731, 36: 8463, 60: 5446, 44: 14818, 64: 3333, 40: 13177, 32: 5606, 28: 2711, 24: 1484, 20: 520, 12: 63, 16: 174, 8: 23, 4: 2}, ("QuadrupleOnesAndTwos", 8, 7): {52: 15549, 36: 5454, 56: 17187, 40: 10276, 44: 12582, 32: 3399, 48: 18487, 60: 8149, 64: 6573, 28: 1363, 24: 681, 20: 212, 16: 65, 12: 22, 8: 1}, ("QuadrupleOnesAndTwos", 8, 8): {40: 7484, 64: 11129, 52: 15898, 48: 17080, 44: 9727, 56: 21877, 60: 10773, 36: 3224, 32: 1803, 24: 259, 28: 651, 20: 66, 16: 27, 8: 1, 12: 1}, ("MicroStraight", 1, 1): {0: 100000}, ("MicroStraight", 1, 2): {0: 100000}, ("MicroStraight", 1, 3): {0: 100000}, ("MicroStraight", 1, 4): {0: 100000}, ("MicroStraight", 1, 5): {0: 100000}, ("MicroStraight", 1, 6): {0: 100000}, ("MicroStraight", 1, 7): {0: 100000}, ("MicroStraight", 1, 8): {0: 100000}, ("MicroStraight", 2, 1): {0: 72326, 10: 27674}, ("MicroStraight", 2, 2): {0: 48546, 10: 51454}, ("MicroStraight", 2, 3): {10: 67381, 0: 32619}, ("MicroStraight", 2, 4): {10: 78341, 0: 21659}, ("MicroStraight", 2, 5): {10: 85712, 0: 14288}, ("MicroStraight", 2, 6): {10: 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("MicroStraight", 5, 4): {10: 99989, 0: 11}, ("MicroStraight", 5, 5): {10: 99999, 0: 1}, ("MicroStraight", 5, 6): {10: 100000}, ("MicroStraight", 5, 7): {10: 100000}, ("MicroStraight", 5, 8): {10: 100000}, ("MicroStraight", 6, 1): {10: 94063, 0: 5937}, ("MicroStraight", 6, 2): {10: 99693, 0: 307}, ("MicroStraight", 6, 3): {10: 99991, 0: 9}, ("MicroStraight", 6, 4): {10: 99999, 0: 1}, ("MicroStraight", 6, 5): {10: 100000}, ("MicroStraight", 6, 6): {10: 100000}, ("MicroStraight", 6, 7): {10: 100000}, ("MicroStraight", 6, 8): {10: 100000}, ("MicroStraight", 7, 1): {10: 96928, 0: 3072}, ("MicroStraight", 7, 2): {10: 99915, 0: 85}, ("MicroStraight", 7, 3): {10: 99998, 0: 2}, ("MicroStraight", 7, 4): {10: 100000}, ("MicroStraight", 7, 5): {10: 100000}, ("MicroStraight", 7, 6): {10: 100000}, ("MicroStraight", 7, 7): {10: 100000}, ("MicroStraight", 7, 8): {10: 100000}, ("MicroStraight", 8, 1): {10: 98456, 0: 1544}, ("MicroStraight", 8, 2): {10: 99985, 0: 15}, ("MicroStraight", 8, 3): {10: 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0: 4572}, ("ThreeOdds", 3, 7): {20: 97675, 0: 2325}, ("ThreeOdds", 3, 8): {20: 98884, 0: 1116}, ("ThreeOdds", 4, 1): {20: 31331, 0: 68669}, ("ThreeOdds", 4, 2): {0: 26140, 20: 73860}, ("ThreeOdds", 4, 3): {20: 92163, 0: 7837}, ("ThreeOdds", 4, 4): {20: 97831, 0: 2169}, ("ThreeOdds", 4, 5): {20: 99484, 0: 516}, ("ThreeOdds", 4, 6): {20: 99844, 0: 156}, ("ThreeOdds", 4, 7): {20: 99960, 0: 40}, ("ThreeOdds", 4, 8): {20: 99988, 0: 12}, ("ThreeOdds", 5, 1): {0: 49908, 20: 50092}, ("ThreeOdds", 5, 2): {20: 89627, 0: 10373}, ("ThreeOdds", 5, 3): {20: 98360, 0: 1640}, ("ThreeOdds", 5, 4): {20: 99777, 0: 223}, ("ThreeOdds", 5, 5): {20: 99976, 0: 24}, ("ThreeOdds", 5, 6): {20: 99997, 0: 3}, ("ThreeOdds", 5, 7): {20: 99999, 0: 1}, ("ThreeOdds", 5, 8): {20: 100000}, ("ThreeOdds", 6, 1): {20: 65434, 0: 34566}, ("ThreeOdds", 6, 2): {20: 96234, 0: 3766}, ("ThreeOdds", 6, 3): {20: 99709, 0: 291}, ("ThreeOdds", 6, 4): {20: 99978, 0: 22}, ("ThreeOdds", 6, 5): {20: 100000}, ("ThreeOdds", 6, 6): {20: 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100000}, ("OneTwoOneConsecutive", 1, 8): {0: 100000}, ("OneTwoOneConsecutive", 2, 1): {0: 100000}, ("OneTwoOneConsecutive", 2, 2): {0: 100000}, ("OneTwoOneConsecutive", 2, 3): {0: 100000}, ("OneTwoOneConsecutive", 2, 4): {0: 100000}, ("OneTwoOneConsecutive", 2, 5): {0: 100000}, ("OneTwoOneConsecutive", 2, 6): {0: 100000}, ("OneTwoOneConsecutive", 2, 7): {0: 100000}, ("OneTwoOneConsecutive", 2, 8): {0: 100000}, ("OneTwoOneConsecutive", 3, 1): {0: 100000}, ("OneTwoOneConsecutive", 3, 2): {0: 100000}, ("OneTwoOneConsecutive", 3, 3): {0: 100000}, ("OneTwoOneConsecutive", 3, 4): {0: 100000}, ("OneTwoOneConsecutive", 3, 5): {0: 100000}, ("OneTwoOneConsecutive", 3, 6): {0: 100000}, ("OneTwoOneConsecutive", 3, 7): {0: 100000}, ("OneTwoOneConsecutive", 3, 8): {0: 100000}, ("OneTwoOneConsecutive", 4, 1): {0: 96371, 30: 3629}, ("OneTwoOneConsecutive", 4, 2): {30: 13395, 0: 86605}, ("OneTwoOneConsecutive", 4, 3): {0: 75037, 30: 24963}, ("OneTwoOneConsecutive", 4, 4): {30: 36344, 0: 63656}, ("OneTwoOneConsecutive", 4, 5): {30: 46131, 0: 53869}, ("OneTwoOneConsecutive", 4, 6): {30: 54869, 0: 45131}, ("OneTwoOneConsecutive", 4, 7): {30: 62465, 0: 37535}, ("OneTwoOneConsecutive", 4, 8): {30: 68575, 0: 31425}, ("OneTwoOneConsecutive", 5, 1): {0: 86632, 30: 13368}, ("OneTwoOneConsecutive", 5, 2): {0: 62779, 30: 37221}, ("OneTwoOneConsecutive", 5, 3): {30: 53966, 0: 46034}, ("OneTwoOneConsecutive", 5, 4): {0: 34983, 30: 65017}, ("OneTwoOneConsecutive", 5, 5): {0: 28056, 30: 71944}, ("OneTwoOneConsecutive", 5, 6): {30: 76850, 0: 23150}, ("OneTwoOneConsecutive", 5, 7): {30: 80423, 0: 19577}, ("OneTwoOneConsecutive", 5, 8): {0: 17613, 30: 82387}, ("OneTwoOneConsecutive", 6, 1): {0: 71928, 30: 28072}, ("OneTwoOneConsecutive", 6, 2): {0: 40724, 30: 59276}, ("OneTwoOneConsecutive", 6, 3): {30: 73277, 0: 26723}, ("OneTwoOneConsecutive", 6, 4): {0: 19685, 30: 80315}, ("OneTwoOneConsecutive", 6, 5): {30: 84540, 0: 15460}, ("OneTwoOneConsecutive", 6, 6): {30: 87474, 0: 12526}, ("OneTwoOneConsecutive", 6, 7): {30: 89986, 0: 10014}, ("OneTwoOneConsecutive", 6, 8): {30: 91749, 0: 8251}, ("OneTwoOneConsecutive", 7, 1): {0: 55544, 30: 44456}, ("OneTwoOneConsecutive", 7, 2): {30: 75160, 0: 24840}, ("OneTwoOneConsecutive", 7, 3): {30: 84898, 0: 15102}, ("OneTwoOneConsecutive", 7, 4): {30: 89459, 0: 10541}, ("OneTwoOneConsecutive", 7, 5): {30: 92280, 0: 7720}, ("OneTwoOneConsecutive", 7, 6): {30: 94446, 0: 5554}, ("OneTwoOneConsecutive", 7, 7): {30: 95894, 0: 4106}, ("OneTwoOneConsecutive", 7, 8): {30: 96975, 0: 3025}, ("OneTwoOneConsecutive", 8, 1): {30: 59307, 0: 40693}, ("OneTwoOneConsecutive", 8, 2): {0: 14827, 30: 85173}, ("OneTwoOneConsecutive", 8, 3): {30: 91805, 0: 8195}, ("OneTwoOneConsecutive", 8, 4): {30: 94617, 0: 5383}, ("OneTwoOneConsecutive", 8, 5): {30: 96605, 0: 3395}, ("OneTwoOneConsecutive", 8, 6): {30: 97701, 0: 2299}, ("OneTwoOneConsecutive", 8, 7): {30: 98588, 0: 1412}, ("OneTwoOneConsecutive", 8, 8): {30: 99128, 0: 872}, ("ThreeDistinctDice", 1, 1): {0: 100000}, ("ThreeDistinctDice", 1, 2): {0: 100000}, ("ThreeDistinctDice", 1, 3): {0: 100000}, ("ThreeDistinctDice", 1, 4): {0: 100000}, ("ThreeDistinctDice", 1, 5): {0: 100000}, ("ThreeDistinctDice", 1, 6): {0: 100000}, ("ThreeDistinctDice", 1, 7): {0: 100000}, ("ThreeDistinctDice", 1, 8): {0: 100000}, ("ThreeDistinctDice", 2, 1): {0: 100000}, ("ThreeDistinctDice", 2, 2): {0: 100000}, ("ThreeDistinctDice", 2, 3): {0: 100000}, ("ThreeDistinctDice", 2, 4): {0: 100000}, ("ThreeDistinctDice", 2, 5): {0: 100000}, ("ThreeDistinctDice", 2, 6): {0: 100000}, ("ThreeDistinctDice", 2, 7): {0: 100000}, ("ThreeDistinctDice", 2, 8): {0: 100000}, ("ThreeDistinctDice", 3, 1): {20: 55293, 0: 44707}, ("ThreeDistinctDice", 3, 2): {0: 15078, 20: 84922}, ("ThreeDistinctDice", 3, 3): {20: 94944, 0: 5056}, ("ThreeDistinctDice", 3, 4): {0: 1688, 20: 98312}, ("ThreeDistinctDice", 3, 5): {20: 99484, 0: 516}, ("ThreeDistinctDice", 3, 6): {20: 99818, 0: 182}, ("ThreeDistinctDice", 3, 7): {20: 99944, 0: 56}, ("ThreeDistinctDice", 3, 8): {20: 99985, 0: 15}, ("ThreeDistinctDice", 4, 1): {20: 83279, 0: 16721}, ("ThreeDistinctDice", 4, 2): {20: 98174, 0: 1826}, ("ThreeDistinctDice", 4, 3): {20: 99797, 0: 203}, ("ThreeDistinctDice", 4, 4): {20: 99982, 0: 18}, ("ThreeDistinctDice", 4, 5): {20: 99997, 0: 3}, ("ThreeDistinctDice", 4, 6): {20: 100000}, ("ThreeDistinctDice", 4, 7): {20: 100000}, ("ThreeDistinctDice", 4, 8): {20: 100000}, ("ThreeDistinctDice", 5, 1): {0: 5904, 20: 94096}, ("ThreeDistinctDice", 5, 2): {20: 99764, 0: 236}, ("ThreeDistinctDice", 5, 3): {20: 99988, 0: 12}, ("ThreeDistinctDice", 5, 4): {20: 100000}, ("ThreeDistinctDice", 5, 5): {20: 100000}, ("ThreeDistinctDice", 5, 6): {20: 100000}, ("ThreeDistinctDice", 5, 7): {20: 100000}, ("ThreeDistinctDice", 5, 8): {20: 100000}, ("ThreeDistinctDice", 6, 1): {20: 98008, 0: 1992}, ("ThreeDistinctDice", 6, 2): {20: 99979, 0: 21}, ("ThreeDistinctDice", 6, 3): {20: 100000}, ("ThreeDistinctDice", 6, 4): {20: 100000}, ("ThreeDistinctDice", 6, 5): {20: 100000}, ("ThreeDistinctDice", 6, 6): {20: 100000}, ("ThreeDistinctDice", 6, 7): {20: 100000}, ("ThreeDistinctDice", 6, 8): {20: 100000}, ("ThreeDistinctDice", 7, 1): {20: 99308, 0: 692}, ("ThreeDistinctDice", 7, 2): {20: 99996, 0: 4}, ("ThreeDistinctDice", 7, 3): {20: 100000}, ("ThreeDistinctDice", 7, 4): {20: 100000}, ("ThreeDistinctDice", 7, 5): {20: 100000}, ("ThreeDistinctDice", 7, 6): {20: 100000}, ("ThreeDistinctDice", 7, 7): {20: 100000}, ("ThreeDistinctDice", 7, 8): {20: 100000}, ("ThreeDistinctDice", 8, 1): {20: 99757, 0: 243}, ("ThreeDistinctDice", 8, 2): {20: 99999, 0: 1}, ("ThreeDistinctDice", 8, 3): {20: 100000}, ("ThreeDistinctDice", 8, 4): {20: 100000}, ("ThreeDistinctDice", 8, 5): {20: 100000}, ("ThreeDistinctDice", 8, 6): {20: 100000}, ("ThreeDistinctDice", 8, 7): {20: 100000}, ("ThreeDistinctDice", 8, 8): {20: 100000}, ("TwoPair", 1, 1): {0: 100000}, ("TwoPair", 1, 2): {0: 100000}, ("TwoPair", 1, 3): {0: 100000}, ("TwoPair", 1, 4): {0: 100000}, ("TwoPair", 1, 5): {0: 100000}, ("TwoPair", 1, 6): {0: 100000}, ("TwoPair", 1, 7): {0: 100000}, ("TwoPair", 1, 8): {0: 100000}, ("TwoPair", 2, 1): {0: 100000}, ("TwoPair", 2, 2): {0: 100000}, ("TwoPair", 2, 3): {0: 100000}, ("TwoPair", 2, 4): {0: 100000}, ("TwoPair", 2, 5): {0: 100000}, ("TwoPair", 2, 6): {0: 100000}, ("TwoPair", 2, 7): {0: 100000}, ("TwoPair", 2, 8): {0: 100000}, ("TwoPair", 3, 1): {0: 100000}, ("TwoPair", 3, 2): {0: 100000}, ("TwoPair", 3, 3): {0: 100000}, ("TwoPair", 3, 4): {0: 100000}, ("TwoPair", 3, 5): {0: 100000}, ("TwoPair", 3, 6): {0: 100000}, ("TwoPair", 3, 7): {0: 100000}, ("TwoPair", 3, 8): {0: 100000}, ("TwoPair", 4, 1): {0: 93065, 30: 6935}, ("TwoPair", 4, 2): {0: 82102, 30: 17898}, ("TwoPair", 4, 3): {0: 71209, 30: 28791}, ("TwoPair", 4, 4): {0: 61609, 30: 38391}, ("TwoPair", 4, 5): {30: 46964, 0: 53036}, ("TwoPair", 4, 6): {0: 45705, 30: 54295}, ("TwoPair", 4, 7): {0: 39398, 30: 60602}, ("TwoPair", 4, 8): {30: 66327, 0: 33673}, ("TwoPair", 5, 1): {30: 27153, 0: 72847}, ("TwoPair", 5, 2): {30: 53241, 0: 46759}, ("TwoPair", 5, 3): {30: 70538, 0: 29462}, ("TwoPair", 5, 4): {30: 81649, 0: 18351}, ("TwoPair", 5, 5): {30: 88207, 0: 11793}, ("TwoPair", 5, 6): {30: 92615, 0: 7385}, ("TwoPair", 5, 7): {30: 95390, 0: 4610}, ("TwoPair", 5, 8): {30: 97062, 0: 2938}, ("TwoPair", 6, 1): {30: 55569, 0: 44431}, ("TwoPair", 6, 2): {30: 82817, 0: 17183}, ("TwoPair", 6, 3): {30: 93241, 0: 6759}, ("TwoPair", 6, 4): {30: 97438, 0: 2562}, ("TwoPair", 6, 5): {30: 99052, 0: 948}, ("TwoPair", 6, 6): {30: 99625, 0: 375}, ("TwoPair", 6, 7): {30: 99862, 0: 138}, ("TwoPair", 6, 8): {30: 99943, 0: 57}, ("TwoPair", 7, 1): {0: 19888, 30: 80112}, ("TwoPair", 7, 2): {30: 96065, 0: 3935}, ("TwoPair", 7, 3): {30: 99199, 0: 801}, ("TwoPair", 7, 4): {30: 99825, 0: 175}, ("TwoPair", 7, 5): {30: 99969, 0: 31}, ("TwoPair", 7, 6): {30: 99993, 0: 7}, ("TwoPair", 7, 7): {30: 99998, 0: 2}, ("TwoPair", 7, 8): {30: 100000}, ("TwoPair", 8, 1): {30: 93209, 0: 6791}, ("TwoPair", 8, 2): {30: 99412, 0: 588}, ("TwoPair", 8, 3): {30: 99939, 0: 61}, ("TwoPair", 8, 4): {30: 99994, 0: 6}, ("TwoPair", 8, 5): {30: 100000}, ("TwoPair", 8, 6): {30: 100000}, ("TwoPair", 8, 7): {30: 100000}, ("TwoPair", 8, 8): {30: 100000}, ("TwoOneTwoConsecutive", 1, 1): {0: 100000}, ("TwoOneTwoConsecutive", 1, 2): {0: 100000}, ("TwoOneTwoConsecutive", 1, 3): {0: 100000}, ("TwoOneTwoConsecutive", 1, 4): {0: 100000}, ("TwoOneTwoConsecutive", 1, 5): {0: 100000}, ("TwoOneTwoConsecutive", 1, 6): {0: 100000}, ("TwoOneTwoConsecutive", 1, 7): {0: 100000}, ("TwoOneTwoConsecutive", 1, 8): {0: 100000}, ("TwoOneTwoConsecutive", 2, 1): {0: 100000}, ("TwoOneTwoConsecutive", 2, 2): {0: 100000}, ("TwoOneTwoConsecutive", 2, 3): {0: 100000}, ("TwoOneTwoConsecutive", 2, 4): {0: 100000}, ("TwoOneTwoConsecutive", 2, 5): {0: 100000}, ("TwoOneTwoConsecutive", 2, 6): {0: 100000}, ("TwoOneTwoConsecutive", 2, 7): {0: 100000}, ("TwoOneTwoConsecutive", 2, 8): {0: 100000}, ("TwoOneTwoConsecutive", 3, 1): {0: 100000}, ("TwoOneTwoConsecutive", 3, 2): {0: 100000}, ("TwoOneTwoConsecutive", 3, 3): {0: 100000}, ("TwoOneTwoConsecutive", 3, 4): {0: 100000}, ("TwoOneTwoConsecutive", 3, 5): {0: 100000}, ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, ("TwoOneTwoConsecutive", 5, 7): {40: 58415, 0: 41585}, ("TwoOneTwoConsecutive", 5, 8): {40: 65048, 0: 34952}, ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, ("TwoOneTwoConsecutive", 6, 2): {40: 26584, 0: 73416}, ("TwoOneTwoConsecutive", 6, 3): {40: 45959, 0: 54041}, ("TwoOneTwoConsecutive", 6, 4): {40: 61465, 0: 38535}, ("TwoOneTwoConsecutive", 6, 5): {40: 72634, 0: 27366}, ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, ("TwoOneTwoConsecutive", 6, 7): {40: 86613, 0: 13387}, ("TwoOneTwoConsecutive", 6, 8): {40: 90866, 0: 9134}, ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, ("TwoOneTwoConsecutive", 7, 3): {40: 69565, 0: 30435}, ("TwoOneTwoConsecutive", 7, 4): {40: 82523, 0: 17477}, ("TwoOneTwoConsecutive", 7, 5): {40: 90218, 0: 9782}, ("TwoOneTwoConsecutive", 7, 6): {40: 94684, 0: 5316}, ("TwoOneTwoConsecutive", 7, 7): {40: 97005, 0: 2995}, ("TwoOneTwoConsecutive", 7, 8): {40: 98311, 0: 1689}, ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, ("TwoOneTwoConsecutive", 8, 3): {40: 85180, 0: 14820}, ("TwoOneTwoConsecutive", 8, 4): {40: 93735, 0: 6265}, ("TwoOneTwoConsecutive", 8, 5): {40: 97400, 0: 2600}, ("TwoOneTwoConsecutive", 8, 6): {40: 98845, 0: 1155}, ("TwoOneTwoConsecutive", 8, 7): {40: 99513, 0: 487}, ("TwoOneTwoConsecutive", 8, 8): {40: 99810, 0: 190}, ("FiveDistinctDice", 1, 1): {0: 100000}, ("FiveDistinctDice", 1, 2): {0: 100000}, ("FiveDistinctDice", 1, 3): {0: 100000}, ("FiveDistinctDice", 1, 4): {0: 100000}, ("FiveDistinctDice", 1, 5): {0: 100000}, ("FiveDistinctDice", 1, 6): {0: 100000}, ("FiveDistinctDice", 1, 7): {0: 100000}, ("FiveDistinctDice", 1, 8): {0: 100000}, ("FiveDistinctDice", 2, 1): {0: 100000}, ("FiveDistinctDice", 2, 2): {0: 100000}, ("FiveDistinctDice", 2, 3): {0: 100000}, ("FiveDistinctDice", 2, 4): {0: 100000}, ("FiveDistinctDice", 2, 5): {0: 100000}, ("FiveDistinctDice", 2, 6): {0: 100000}, ("FiveDistinctDice", 2, 7): {0: 100000}, ("FiveDistinctDice", 2, 8): {0: 100000}, ("FiveDistinctDice", 3, 1): {0: 100000}, ("FiveDistinctDice", 3, 2): {0: 100000}, ("FiveDistinctDice", 3, 3): {0: 100000}, ("FiveDistinctDice", 3, 4): {0: 100000}, ("FiveDistinctDice", 3, 5): {0: 100000}, ("FiveDistinctDice", 3, 6): {0: 100000}, ("FiveDistinctDice", 3, 7): {0: 100000}, ("FiveDistinctDice", 3, 8): {0: 100000}, ("FiveDistinctDice", 4, 1): {0: 100000}, ("FiveDistinctDice", 4, 2): {0: 100000}, ("FiveDistinctDice", 4, 3): {0: 100000}, ("FiveDistinctDice", 4, 4): {0: 100000}, ("FiveDistinctDice", 4, 5): {0: 100000}, ("FiveDistinctDice", 4, 6): {0: 100000}, ("FiveDistinctDice", 4, 7): {0: 100000}, ("FiveDistinctDice", 4, 8): {0: 100000}, ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, ("FiveDistinctDice", 5, 2): {25: 31980, 0: 68020}, ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, ("FiveDistinctDice", 5, 5): {25: 78369, 0: 21631}, ("FiveDistinctDice", 5, 6): {25: 85634, 0: 14366}, ("FiveDistinctDice", 5, 7): {25: 90432, 0: 9568}, ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, ("FiveDistinctDice", 6, 2): {25: 61591, 0: 38409}, ("FiveDistinctDice", 6, 3): {25: 82495, 0: 17505}, ("FiveDistinctDice", 6, 4): {25: 92138, 0: 7862}, ("FiveDistinctDice", 6, 5): {25: 96462, 0: 3538}, ("FiveDistinctDice", 6, 6): {25: 98355, 0: 1645}, ("FiveDistinctDice", 6, 7): {25: 99286, 0: 714}, ("FiveDistinctDice", 6, 8): {25: 99659, 0: 341}, ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, ("FiveDistinctDice", 7, 2): {25: 80513, 0: 19487}, ("FiveDistinctDice", 7, 3): {25: 93957, 0: 6043}, ("FiveDistinctDice", 7, 4): {25: 98201, 0: 1799}, ("FiveDistinctDice", 7, 5): {25: 99456, 0: 544}, ("FiveDistinctDice", 7, 6): {25: 99831, 0: 169}, ("FiveDistinctDice", 7, 7): {25: 99941, 0: 59}, ("FiveDistinctDice", 7, 8): {25: 99989, 0: 11}, ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, ("FiveDistinctDice", 8, 2): {25: 90385, 0: 9615}, ("FiveDistinctDice", 8, 3): {25: 98056, 0: 1944}, ("FiveDistinctDice", 8, 4): {25: 99617, 0: 383}, ("FiveDistinctDice", 8, 5): {25: 99923, 0: 77}, ("FiveDistinctDice", 8, 6): {25: 99982, 0: 18}, ("FiveDistinctDice", 8, 7): {25: 99997, 0: 3}, ("FiveDistinctDice", 8, 8): {25: 99998, 0: 2}, ("FourAndFiveFullHouse", 1, 1): {0: 100000}, ("FourAndFiveFullHouse", 1, 2): {0: 100000}, ("FourAndFiveFullHouse", 1, 3): {0: 100000}, ("FourAndFiveFullHouse", 1, 4): {0: 100000}, ("FourAndFiveFullHouse", 1, 5): {0: 100000}, ("FourAndFiveFullHouse", 1, 6): {0: 100000}, ("FourAndFiveFullHouse", 1, 7): {0: 100000}, ("FourAndFiveFullHouse", 1, 8): {0: 100000}, ("FourAndFiveFullHouse", 2, 1): {0: 100000}, ("FourAndFiveFullHouse", 2, 2): {0: 100000}, ("FourAndFiveFullHouse", 2, 3): {0: 100000}, ("FourAndFiveFullHouse", 2, 4): {0: 100000}, ("FourAndFiveFullHouse", 2, 5): {0: 100000}, ("FourAndFiveFullHouse", 2, 6): {0: 100000}, ("FourAndFiveFullHouse", 2, 7): {0: 100000}, ("FourAndFiveFullHouse", 2, 8): {0: 100000}, ("FourAndFiveFullHouse", 3, 1): {0: 100000}, ("FourAndFiveFullHouse", 3, 2): {0: 100000}, ("FourAndFiveFullHouse", 3, 3): {0: 100000}, ("FourAndFiveFullHouse", 3, 4): {0: 100000}, ("FourAndFiveFullHouse", 3, 5): {0: 100000}, ("FourAndFiveFullHouse", 3, 6): {0: 100000}, ("FourAndFiveFullHouse", 3, 7): {0: 100000}, ("FourAndFiveFullHouse", 3, 8): {0: 100000}, ("FourAndFiveFullHouse", 4, 1): {0: 100000}, ("FourAndFiveFullHouse", 4, 2): {0: 100000}, ("FourAndFiveFullHouse", 4, 3): {0: 100000}, ("FourAndFiveFullHouse", 4, 4): {0: 100000}, ("FourAndFiveFullHouse", 4, 5): {0: 100000}, ("FourAndFiveFullHouse", 4, 6): {0: 100000}, ("FourAndFiveFullHouse", 4, 7): {0: 100000}, ("FourAndFiveFullHouse", 4, 8): {0: 100000}, ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, ("FourAndFiveFullHouse", 5, 5): {50: 34203, 0: 65797}, ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}} +yacht_weights = { + ("Ones", 0, 0): {0: 100000}, + ("Ones", 0, 1): {0: 100000}, + ("Ones", 0, 2): {0: 100000}, + ("Ones", 0, 3): {0: 100000}, + ("Ones", 0, 4): {0: 100000}, + ("Ones", 0, 5): {0: 100000}, + ("Ones", 0, 6): {0: 100000}, + ("Ones", 0, 7): {0: 100000}, + ("Ones", 0, 8): {0: 100000}, + ("Ones", 1, 0): {0: 100000}, + ("Ones", 1, 1): {0: 83416, 1: 16584}, + ("Ones", 1, 2): {0: 69346, 1: 30654}, + ("Ones", 1, 3): {0: 57756, 1: 42244}, + ("Ones", 1, 4): {0: 48709, 1: 51291}, + ("Ones", 1, 5): {1: 59786, 0: 40214}, + ("Ones", 1, 6): {1: 66509, 0: 33491}, + ("Ones", 1, 7): {1: 72162, 0: 27838}, + ("Ones", 1, 8): {0: 23094, 1: 76906}, + ("Ones", 2, 0): {0: 100000}, + ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, + ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, + ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, + ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, + ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, + ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, + ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, + ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, + ("Ones", 3, 0): {0: 100000}, + ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, + ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, + ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, + ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, + ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, + ("Ones", 3, 6): {2: 44196, 1: 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("OneTwoOneConsecutive", 7, 5): {30: 92280, 0: 7720}, + ("OneTwoOneConsecutive", 7, 6): {30: 94446, 0: 5554}, + ("OneTwoOneConsecutive", 7, 7): {30: 95894, 0: 4106}, + ("OneTwoOneConsecutive", 7, 8): {30: 96975, 0: 3025}, + ("OneTwoOneConsecutive", 8, 1): {30: 59307, 0: 40693}, + ("OneTwoOneConsecutive", 8, 2): {0: 14827, 30: 85173}, + ("OneTwoOneConsecutive", 8, 3): {30: 91805, 0: 8195}, + ("OneTwoOneConsecutive", 8, 4): {30: 94617, 0: 5383}, + ("OneTwoOneConsecutive", 8, 5): {30: 96605, 0: 3395}, + ("OneTwoOneConsecutive", 8, 6): {30: 97701, 0: 2299}, + ("OneTwoOneConsecutive", 8, 7): {30: 98588, 0: 1412}, + ("OneTwoOneConsecutive", 8, 8): {30: 99128, 0: 872}, + ("ThreeDistinctDice", 1, 1): {0: 100000}, + ("ThreeDistinctDice", 1, 2): {0: 100000}, + ("ThreeDistinctDice", 1, 3): {0: 100000}, + ("ThreeDistinctDice", 1, 4): {0: 100000}, + ("ThreeDistinctDice", 1, 5): {0: 100000}, + ("ThreeDistinctDice", 1, 6): {0: 100000}, + ("ThreeDistinctDice", 1, 7): {0: 100000}, + 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("FourAndFiveFullHouse", 2, 2): {0: 100000}, + ("FourAndFiveFullHouse", 2, 3): {0: 100000}, + ("FourAndFiveFullHouse", 2, 4): {0: 100000}, + ("FourAndFiveFullHouse", 2, 5): {0: 100000}, + ("FourAndFiveFullHouse", 2, 6): {0: 100000}, + ("FourAndFiveFullHouse", 2, 7): {0: 100000}, + ("FourAndFiveFullHouse", 2, 8): {0: 100000}, + ("FourAndFiveFullHouse", 3, 1): {0: 100000}, + ("FourAndFiveFullHouse", 3, 2): {0: 100000}, + ("FourAndFiveFullHouse", 3, 3): {0: 100000}, + ("FourAndFiveFullHouse", 3, 4): {0: 100000}, + ("FourAndFiveFullHouse", 3, 5): {0: 100000}, + ("FourAndFiveFullHouse", 3, 6): {0: 100000}, + ("FourAndFiveFullHouse", 3, 7): {0: 100000}, + ("FourAndFiveFullHouse", 3, 8): {0: 100000}, + ("FourAndFiveFullHouse", 4, 1): {0: 100000}, + ("FourAndFiveFullHouse", 4, 2): {0: 100000}, + ("FourAndFiveFullHouse", 4, 3): {0: 100000}, + ("FourAndFiveFullHouse", 4, 4): {0: 100000}, + ("FourAndFiveFullHouse", 4, 5): {0: 100000}, + ("FourAndFiveFullHouse", 4, 6): {0: 100000}, + ("FourAndFiveFullHouse", 4, 7): {0: 100000}, + ("FourAndFiveFullHouse", 4, 8): {0: 100000}, + ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, + ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, + ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, + ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, + ("FourAndFiveFullHouse", 5, 5): {50: 34203, 0: 65797}, + ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, + ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, + ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, + ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, + ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, + ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, + ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, + ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, + ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, + ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, + ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, + ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, + ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, + ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, + ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, + ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, + ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, + ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, + ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, + ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, + ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, + ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, + ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, + ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, + ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, + ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, + ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}, +} diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index c1a930ddbf..2a4a4b6802 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -11,28 +11,30 @@ from .Rules import dice_simulation, set_yacht_completion_rules, set_yacht_rules class YachtDiceWeb(WebWorld): - tutorials = [Tutorial( - "Multiworld Setup Guide", - "A guide to setting up Yacht Dice. This guide covers " - "single-player, multiworld, and website.", - "English", - "setup_en.md", - "setup/en", - ["Spineraks"] - )] + tutorials = [ + Tutorial( + "Multiworld Setup Guide", + "A guide to setting up Yacht Dice. This guide covers " "single-player, multiworld, and website.", + "English", + "setup_en.md", + "setup/en", + ["Spineraks"], + ) + ] option_groups = yd_option_groups class YachtDiceWorld(World): """ - Yacht Dice is a straightforward game, custom-made for Archipelago, - where you cast your dice to chart a course for high scores, - unlocking valuable treasures along the way. - Discover more dice, extra rolls, multipliers, - and unlockable categories to navigate the depths of the game. + Yacht Dice is a straightforward game, custom-made for Archipelago, + where you cast your dice to chart a course for high scores, + unlocking valuable treasures along the way. + Discover more dice, extra rolls, multipliers, + and unlockable categories to navigate the depths of the game. Roll your way to victory by reaching the target score! """ + game: str = "Yacht Dice" options_dataclass = YachtDiceOptions @@ -103,7 +105,7 @@ class YachtDiceWorld(World): ["Category Small Straight", "Category Two Pair"], ["Category Large Straight", "Category 2-1-2 Consecutive"], ["Category Full House", "Category Five Distinct Dice"], - ["Category Yacht", "Category 4&5 Full House"] + ["Category Yacht", "Category 4&5 Full House"], ] # categories used in this game. @@ -159,7 +161,7 @@ class YachtDiceWorld(World): self.options.weight_of_fixed_score_multiplier.value, self.options.weight_of_step_score_multiplier.value, self.options.weight_of_double_category.value, - self.options.weight_of_points.value + self.options.weight_of_points.value, ] # if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice @@ -209,13 +211,13 @@ class YachtDiceWorld(World): self.itempool += ["Dice"] else: self.itempool += ["Dice Fragment"] - weights[0] /= (1 + frags_per_dice) + weights[0] /= 1 + frags_per_dice elif which_item_to_add == 1: if frags_per_roll == 1: self.itempool += ["Roll"] else: self.itempool += ["Roll Fragment"] - weights[1] /= (1 + frags_per_roll) + weights[1] /= 1 + frags_per_roll elif which_item_to_add == 2: self.itempool += ["Fixed Score Multiplier"] weights[2] /= 1.05 @@ -310,16 +312,16 @@ class YachtDiceWorld(World): p = 1.1 - 0.25 * self.options.game_difficulty.value already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += self.multiworld.random.choices( - ["Good RNG", "Bad RNG"], - weights=[p, 1 - p], - k=self.number_of_locations - already_items + ["Good RNG", "Bad RNG"], weights=[p, 1 - p], k=self.number_of_locations - already_items ) # we are done adding items. Now because of the last step, number of items should be number of locations already_items = len(self.itempool) + self.extra_plando_items + 1 if already_items != self.number_of_locations: - raise Exception(f"[Yacht Dice] Number in self.itempool is not number of locations " - f"{already_items} {self.number_of_locations}.") + raise Exception( + f"[Yacht Dice] Number in self.itempool is not number of locations " + f"{already_items} {self.number_of_locations}." + ) # add precollected items using push_precollected. Items in self.itempool get created in create_items for item in self.precollected: @@ -334,16 +336,20 @@ class YachtDiceWorld(World): def create_regions(self): # call the ini_locations function, that generates locations based on the inputs. - location_table, goal_index = ini_locations(self.goal_score, self.max_score, self.number_of_locations, - self.options.game_difficulty.value) + location_table, goal_index = ini_locations( + self.goal_score, self.max_score, self.number_of_locations, self.options.game_difficulty.value + ) # simple menu-board construction menu = Region("Menu", self.player, self.multiworld) board = Region("Board", self.player, self.multiworld) # add locations to board, one for every location in the location_table - board.locations = [YachtDiceLocation(self.player, loc_name, loc_data.score, loc_data.id, board) - for loc_name, loc_data in location_table.items() if loc_data.region == board.name] + board.locations = [ + YachtDiceLocation(self.player, loc_name, loc_data.score, loc_data.id, board) + for loc_name, loc_data in location_table.items() + if loc_data.region == board.name + ] # which index of all locations should have the Victory item. @@ -370,25 +376,25 @@ class YachtDiceWorld(World): # make slot data, which consists of yachtdice_data, options, and some other variables. yacht_dice_data = self._get_yachtdice_data() yacht_dice_options = self.options.as_dict( - "game_difficulty", - "score_for_last_check", - "score_for_goal", - "minimal_number_of_dice_and_rolls", - "number_of_dice_fragments_per_dice", - "number_of_roll_fragments_per_roll", - "alternative_categories", - "weight_of_dice", - "weight_of_roll", - "weight_of_fixed_score_multiplier", - "weight_of_step_score_multiplier", - "weight_of_double_category", - "weight_of_points", - "points_size", - "minimize_extra_items", - "add_bonus_points", - "add_story_chapters", - "which_story", - "allow_manual_input" + "game_difficulty", + "score_for_last_check", + "score_for_goal", + "minimal_number_of_dice_and_rolls", + "number_of_dice_fragments_per_dice", + "number_of_roll_fragments_per_roll", + "alternative_categories", + "weight_of_dice", + "weight_of_roll", + "weight_of_fixed_score_multiplier", + "weight_of_step_score_multiplier", + "weight_of_double_category", + "weight_of_points", + "points_size", + "minimize_extra_items", + "add_bonus_points", + "add_story_chapters", + "which_story", + "allow_manual_input", ) slot_data = {**yacht_dice_data, **yacht_dice_options} # combine the two slot_data["goal_score"] = self.goal_score diff --git a/worlds/yachtdice/ruff.toml b/worlds/yachtdice/ruff.toml deleted file mode 100644 index 40a8800b52..0000000000 --- a/worlds/yachtdice/ruff.toml +++ /dev/null @@ -1,12 +0,0 @@ -line-length = 120 - -[lint] -preview = true -select = ["E", "F", "W", "I", "N", "Q", "UP", "RUF", "ISC", "T20"] -ignore = ["RUF012", "RUF100"] - -[per-file-ignores] -# The way options definitions work right now, world devs are forced to break line length requirements. -"options.py" = ["E501"] -# Yu Gi Oh specific: The structure of the Opponents.py file makes the line length violations acceptable. -"YachtWeights.py" = ["E501"] \ No newline at end of file